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WorksheetsGeometry Skills Review Quiz
Total questions: 500
Worksheet time: 24hrs 23mins
What is the sum of the interior angles of a pentagon?
360 degrees
540 degrees
720 degrees
180 degrees
If a triangle has sides of lengths 6, 8, and 10, what type of triangle is it?
Equilateral
Isosceles
Right
Scalene
Which transformation does not preserve the original size and shape of the object?
Translation
Rotation
Reflection
Dilation
What is the measure of an exterior angle of a regular hexagon?
60 degrees
120 degrees
180 degrees
360 degrees
In coordinate geometry, what is the distance between the points (3, 4) and (7, 1)?
5 units
6 units
7 units
8 units
If two lines are cut by a transversal and the corresponding angles are congruent, what can be said about the lines?
The lines are perpendicular.
The lines are parallel.
The lines intersect at a right angle.
There is no relationship between the lines.
Using the Pythagorean theorem, find the length of the hypotenuse of a right triangle with legs of lengths 8 and 6.
10
14
12
8
What is the area of a triangle with base 4 units and height 3 units?
6 square units
12 square units
24 square units
7 square units
Which of the following is not a property of all parallelograms?
Opposite sides are congruent.
Opposite angles are congruent.
Diagonals bisect each other.
All angles are right angles.
What is the equation of a line that passes through the points (1, 2) and (3, 8)?
y=3x−1
y=2x+1
y=3x+1
y=2x−1
A square and a rectangle have the same perimeter. If the rectangle's length is twice its width, what is the ratio of the area of the square to the area of the rectangle?
1:1
1:2
2:1
4:1
What is the measure of each interior angle of a regular octagon?
135 degrees
145 degrees
150 degrees
160 degrees
What type of triangle has angles measuring 45 degrees, 45 degrees, and 90 degrees?
Equilateral
Isosceles
Scalene
Right
In a coordinate plane, what is the slope of a line perpendicular to a line with slope 4?
4
-4
41
−41
What is the formula for the area of a trapezoid?
21 (base1 + base2) × height
(base1 + base2) × height
21 base × height
base × height
If a line segment is reflected across the y-axis, what happens to the x-coordinate of any point on the line?
It remains the same.
It is multiplied by -1.
It is doubled.
It is halved.
Find the sum of the angles of a 17-gon.
What is the sum of the interior angles?
A (a) triangle is shown.
Find the measure of EACH interior angle in a regular 13-gon. (round to nearest tenth)
Drag the correct term to each of the three empty boxes to complete the diagram.
obtuse
acute
triangles
A triangle has side lengths of 15 centimeters, 11 centimeters, and 9 centimeters. What kind of triangle is it?
equilateral
isosceles
scalene
A triangle has exactly one obtuse angle.
Is the triangle a right, acute, or obtuse triangle?
Complete the sentence by circling the correct answer inside the box.
The triangle is (a) because it has exactly (b)
In this figure, triangle TRS is the (a) , triangle T'R'S' is the (b) and a(n) (c) occurred.
Which transformation does not preserves congruence? Select the correct answer. (a)
Match the corresponding sides.
MN
s
NO
t
OP
u
PM
r
The transformation that takes the blue image to the red one is (a) over the WX side, then a (b) up.
In this figure, triangle TRS is the (a) , triangle T'R'S' is the (b) and a(n) (c) occurred.
HINT: Draw the original parallelogram. Remember that the only thing that changes the size of a shape is dilation.
Triangle GHI is rotated 90 degrees colock-wise and then reflected across the y axis to form Triangle xyz. Match the sides that are equal in length to each other.
GI
y
IH
z
GH
x
Triangle DEF is translated down 9 units and then reflected across the y axis to form Triangle xyz. Match the sides that are equal in length to each other.
DE
y
DF
z
EF
x
A reflection (a) a figure over a line of reflection in order to create a mirror image.
Match the following transformations with their rule.
Translated
2 units UP
( x , y + 2)
Translated
2 units DOWN
( x , y - 2 )
Translated
2 units Left
( x - 2 , y )
Translated
2 units Right
( x + 2 , y )
Reflect the given point (-4, 2) over the x-axis and then translate two units to the left.
(a) are the only transformation where the x and y coordinates switch places.
Match the following word with the transformation action:
Translation
Slide
Reflection
Mirror
Rotation
Turn
Dilation
Resize
Plot A' after a translating Point A (2, 6) using the rule:
(x, y) ---> (x - 3, y + 2).
A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated so that G' is located at (5, -5). The algebraic rule for this transformation is (x,y)⟶ (a) .
(25x,25y)
(52x,52y)
(x+3,y+3)
Triangle RST is translated 5 units right and 3 units down. Write a rule that describes this transformation. (x, y) → ( (a) _, (b) _)
A dilation is known as a (a) transformation.
In this type of transformation, the image and the pre-image are (b) .
Reflect the given point ( -2,-5) over the y-axis and then translate up 3.
Translation
Reflection
Rotation
Match the terms with their definitions.
Translation
A transformation that slides a figure.
Rotation
A transformation that turns a figure around a point.
Reflection
A transformation that flips a figure across a line.
Translation
Reflection
Rotation
The (a) is the horizontal axis in a coordinate plane.
The (a) is the vertical axis in a coordinate plane.
The (a) is the intersection of the x- and y-axes in a coordinate plane. The coordinated are (0,0)
Place A(1,2) on the graph.
The slope of AC is 4.
Click on two more points on the graph that could represent point C, using Quadrant I only.
Your graph should have a total of 3 points.
Label the axis on the graph:
x-axis
y-axis
The plane containing the x and y axis.
Answer: (a)
Click on the coordinate point that is (6, 0)
Points A, B, C, D, and E form a pentagon. Write an ordered pair that can be located inside the pentagon.
( (a) , (b) )
Graph A(4, 2)
Use c2=a2+b2 , to find the value of x. to the nearest whole number.
A right triangle with side measurement 5 feet is shown. Label the other two sides of the triangle with the correct length.
Find the length x length
Find the width x width
Find the height x height
Add them all up.
Take the square root of your answer.
Find the length x length
Find the width x width
Find the height x height
Add them all up.
Take the square root of your answer.
The Pythagorean Theorem is (a) (b) (c) (d) (e)
a2
+
b2
=
c2
x2
−
×
÷
A ladder reaches a height of 19 feet on the side of a building. If the base of the ladder is 10 feet from the wall, the length of the ladder is (a) .
A triangle with side lengths of 2 feet, 4 feet and 6 feet (a) a right triangle.
A triangle with side lengths of 7 feet, 11 feet and 13 feet (b) a right triangle.
A triangle with side lengths 8 feet, 17 feet and 15 feet (c) a right triangle.
The (a) or side (b) is the longest side.
Which of the following could be the lengths of the three sides of a right triangle? (a)
The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. The measurement that is closest to the length of this rectangle in feet is (a)
What letter represents the hypotenuse?
(a)
Find the missing side, A, of a right triangle when C=15 and B=12?
A triangle has one leg of 21 inches and another leg of 72 inches. For the triangle to be a right triangle, what is the length of the hypotenuse?
What is the sum of the interior angles?
Find the sum of the angles of a 17-gon.
Find the measure of EACH interior angle in a regular 13-gon. (round to nearest tenth)
A (a) triangle is shown.
What is the perimeter of a rectangle with length 8 units and width 5 units?
26 units
40 units
13 units
30 units
What is the volume of a cube with side length 4 units?
64 cubic units
16 cubic units
24 cubic units
32 cubic units
If a quadrilateral has two pairs of parallel sides, what shape is it?
Square
Rectangle
Parallelogram
All of the above
Which illustration shows the correct construction of an angle bisector?
Which geometric principle is used to justify the construction?
A line perpendicular to one of two parallel lines is perpendicular to the other.
Two lines are perpendicular if they intersect to form congruent adjacent angles.
When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel.
When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel.
In △ABC, m∠A = 3x + 1, m∠B = 4x - 17, and m∠C = 5x - 20. Which type of triangle is △ABC?
Right
Scalene
Isosceles
Equilateral
Natalie is playing with the pinwheel like the one shown in the picture above. Which degree of rotation would carry the pinwheel onto itself?
5°
125°
216°
225°
If ABCD is a parallelogram, which statement would prove a that ABCD is a rectangle?
∠ABC ≅ ∠CDA
AC ≅ BD
AC ⟂ BD
∠ABD ≅ ∠DBC
As shown in the diagram below, CD is a median of △ABC.
Which statement is always true?
AD ≅ DB
AC ≅ AD
∠ACD ≅ ∠CDB
∠BCD ≅ ∠ACD
Which transformation does not produce an image that is congruent to the original?
A dilation of scale factor 1 centered at (2,4)
A dilation of scale factor ½ centered at the origin
A reflection over y = 4x
A rotation of 270 degrees followed by a translation down 2
Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle, as shown in the accompanying diagram.
What are the values of x and y?
x = 42 and y = 96
x = 69 and y = 69
x = 90 and y = 48
x = 96 and y = 42
Given: △ABD, BC is the perpendicular bisector of AD
Which statement cannot always be proven?
AC ≅ DC
BC ≅ CD
∠ACB ≅ ∠DCB
△ABC ≅ △DBC
Find the slope of a line parallel to the line that passes through the points (7,-5) and (-1,-3).
4
-4
1/4
-1/4
m = 5/8
are corresponding angles
are corresponding angles
are corresponding angles
are corresponding angles
The set of all points that are equidistant from a central point is called a ___________.
square
circle
oval
cylinder
line p has a slope of 8 and a y-intercept of (0, 5). Line r is the result of dilating line p by a scale factor of 3 with center (0, 3). What is the slope and y-intercept of line r?
slope: 5; y-intercept: (0, 2)
slope: 8; y-intercept: (0, 5)
slope: 8; y-intercept: (0, 9)
slope: 11; y-intercept: (0, 8)
3 & 5
alternate interior
alternate exterior
corresponding
consecutive interior
none
Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?
Find the length of the arc to 2dp
9.42cm
150.80cm
4.71cm
18.85cm
Find the length of the arc to 2 decimal places.
31.42cm
15.71cm
282.74cm
23.56cm
(x,y) --> (x+24, y+3)... What transformation has taken place?
Translation up 3, right 24
Rotation 90 degrees clockwise
Translation up 24, right 3
Flip over the origin
Independent Clause
Two angles whose measures add up to 180. (a)
Two angles whose measures add up to 90. (a)
Which Quadrilateral has 4 right angles, 2 sets of parallel sides, and all of its' sides are the same length? (a)
Has 2 pairs of parallel sides. (a)
___________ are lines that lie in the same plane
Coplanar Lines
Line Segment
Collinear Points
Intersection
Points on the same line are __________ points
Coplanar
Coordinate
Conjecture
Collinear
A straight figure having no thickness and extending infinitely in both directions
line
ray
point
straight angle
A line with a single endpoint (or point of origin) that extends infinitely in one direction
line
ray
point
straight angle
Which of the following is the correct description of the picture?
Ray with endpoint A
Ray with endpoint B
Segment with endpoints A and B
Line containing points A and B
Which of the following words describe the picture?
Ray
segment
line
plane
This geometric object has no dimension and is represented as a single dot in space
point
line
plane
ray
These two lines will never intersect
Parallel Lines
Perpendicular lines
Bisector
Not possible
Two angles that add to be 90 degrees
Supplementary
Complementary
Angles
Right Angle
Two rays that share the same starting point.
Angle
Line
Collinear
Segments
The midpoint of a segment is (7, 2) and one endpoint is (-4, 1). Find the coordinates of the other endpoint.
(18, 3)
(3, 18)
(1.5, 1.5)
(-15, 0)
180
30
60
90
Name the angle that is pictured.
Acute
Right
Obtuse
Straight
Find the distance between the points (-1, 0) and (-9, 6).
100
136
10
10
How many pets do you have?
0
1-2
3-4
5+
What is the slope of a line perpendicular to y=−3x+12 ?
−3
3
−31
31
What type of angles are highlighted above?
Alternate Exterior Angles
Consecutive Interior Angles
Corresponding Angles
Alternate Interior Angles
Lines that intersect and create a
right angle are called:
line segments
parallel lines
perpendicular lines
ray
30°
31°
32°
33°
Angle 1 & Angle 4
Angle 2 & Angle 7
Angle 8 & Angle 6
Angle 3 and Angle 5
Which is your favorite? (You MUST pick ONE)
Breakfast
Lunch
Dinner
Midnight Snack
Vertical Angles are...
complementary
supplementary
congruent
none of these
Do you like geometry
Yeah it's okay
I don't care
No I hate it
Which of the following represents pi?
3.5
3.1
3.14
3.1867
Simplify the radical:
A
B
C
D
Simplify the radical:
A
B
C
D
Simplify the radical:
A
B
C
D
Simplify the radical:
A
B
C
D
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
(a)
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
(a)
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
(a)
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
(a)
Find the midpoint of the line segment with the given endpoints.
(-2,6) and (1,-6)
(Write your answer as a coordinate (x,y ) with no spaces)
(a)
Find the midpoint of the line segment with the given endpoints.
(6,-9) and (6,-7)
(Write your answer as a coordinate (x,y ) with no spaces)
(a)
Find the midpoint of the line segment
(Write your answer as a coordinate (x,y ) with no spaces)
(a)
Find the midpoint of the line segment
(Write your answer as a coordinate (x,y ) with no spaces)
(a)
Find the other endpoint of the line segment with the given endpoint and midpoint.
(Write your answer as a coordinate (x,y ) with no spaces)
(a)
Find the other endpoint of the line segment with the given endpoint and midpoint.
(Write your answer as a coordinate (x,y ) with no spaces)
(a)
Is triangle ABC a right triangle? How do you know?
Yes. Because there's a right angle in the triangle.
No. Because there isn't a right angle at any vertex.
No. Because the sum of the squares of the legs is NOT equal to the square of the hypotenuse.
Impossible to determine.
Compute the perimeter of triangle ABC.
28.73 units
30.11 units
13.3 units
24.03 units
Consider the quadrilateral ABCD with vertices A(-2, -1), B(2, 2), C(5, -2), and
D(1, -5). Graph using Desmos or GeoGebra.
A) Prove that the quadrilateral is a rectangle. Justify your reasoning.
Quadrilateral, two opposite and parallel sides without right angles.
Quadrilateral, four right angles, one pair of opposite congruent sides.
Quadrilateral, adjacent slopes equal to each other's negative reciprocals, opposite sides are congruent, all vertices are right angles.
Quadrilateral with exactly one pair of opposite and parallel sides.
Which of the following are true about the surface area of the object? Check all that apply.
r = 1 inch
Formula for SA = πr(r+h2+r2)
Surface Area = 52.3 Square Inches
h = 6 inches
Which shape is made by this cross section?
Triangle
Parallelogram
Circle
Trapezoid
Calculate the volume of the resulting solids.
(Hint: Subtract the dotted object's volume from the grey object's volume.)
1189.82 Cubic Yards
906.34 Cubic Yards
840.67 Cubic Yards
436.45 Cubic Yards
What is the equation for the following circle?
x2 + (y + 3)2 = 12
(x - 4)2 + (y - 1)2 = 52
(x - 4)2 + (y - 1)2 = 22
(x - 4)2 + (y - 1)2 = 32
What is the difference between a secant and a tangent?
A secant is a intersects the edge of the circle two times.
It goes through the center of the circle.
A tangent only touches the circle once.
There is no difference.
Use the Theorem. Solve for the x.
14
20
71
3
Identify the transformation from ABC to A'B'C'.
90o clockwise rotation
90o counter clockwise rotation
Reflection across the y-axis
Reflection across the x-axis
x = 22 Degrees
x = 25 Degrees
x = 30 Degrees
x = 33 Degrees
x = 40 Degrees
x = 60 Degrees
x = 30 Degrees
x = 90 Degrees
State which set of three numbers can be the measures of the sides of a triangle. (Select all that apply)
3,6,2
8,2,8
11,12,9
5,9,3
Match the equation with its graph.
Describe the System using the correct option below.
Parallel Lines
Same Line
Intersecting Lines
Based on the diagram above, which statement below is true?
Which letters in TEXAS have only vertical lines of symmetry?
A.) Letters T and A
B.) Letter T, E and A
C.) Letters T and X
Which has only 1 line of symmetry?
Which line is perpendicular to line B?
A.) Line A
B.) Line C
C.) Line D
D.) Line E
What type of angle classifies the following triangle?
obtuse
acute
right
none of the above
Which statement best describes the polygons in Group A?
A.) Each polygon has at least one acute angle.
B.) Each polygon has at least one right angle.
C.) Each polygon has at least one pair of parallel sides.
1. Name a plane parallel to plane ADE.
Plane BCF
Plane ABC
Plane CDE
Plane ABE
2. Name a segment parallel to segment BC.
Segment AD
Segment EF
Segment BF
Segment AB
3. Name a segment skew to segment CF.
Segment DE
Segment BF
Segment AB
Segment CD
4. What is the relationship between angles 5 and 7?
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Consecutive Interior Angles
5. What is the transversal for angles 5 and 7?
Line a
Line b
Line c
Line d
6. What is the relationship between angles 8 and 11?
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Consecutive Interior Angles
7. What is the transversal for angles 8 and 11?
Line a
Line b
Line c
Line d
8. What is the relationship between angles 14 and 15?
Corresponding Angles
Alternate Interior Angles
Alternate Exterior Angles
Consecutive Interior Angles
9. What is the transversal for angles 14 and 15?
Line a
Line b
Line c
Line d
10. Solve for x if l || m.
3
3.8
6
7.2
11. Solve for x if l || m.
9.3
7
8
10.1
12. Solve for x if l || m.
7.9
11
9
6.2
13. Solve for y if l || m.
3
11
4
8
Main Street and Walnut Street make a _______ angle.
Acute
Obtuse
Right
Straight
What quadrilaterals has 2 pairs of parallel lines; 4 sides have equal length; 4 right angles?
rectangle
rhombus
square
Name the quadrilateral that has two sets of parallel lines.
Trapezoid
Triangle
Parallelogram
rhombus
parallelogram
rhombus
parallelogram
square
Which shows one half?
What 3D solid does this net make?
Cube
Cuboid
Triangular Prism
Square-based Pyramid
What 3D solid does this net make?
Cube
Cuboid
Triangular Prism
Square-based Pyramid
What 3D solid does this net make?
Cube
Rectangular Prism
Triangular Prism
Square Pyramid
What 3D solid does this net make?
Octahedron
Tetrahedron
Triangular Prism
Square-based Pyramid
What is a name for this line?
What are these?
Line segments
line
point
end caps
(The whole thing, not just the points)
Which is NOT a name for this angle?
∠OBA
∠BOA
∠AOB
∠O
Pick which two are possible Δ side lengths.
2, 13, 6
5, 6, 8
3, 6, 5
4, 6, 10
Pick which two are possible Δ side lengths.
18, 20, 8
24, 17, 46
16, 28, 20
50, 26, 24
Pick which two are possible Δ side lengths.
16, 8, 4
9, 9, 9
8, 10, 2
11, 21, 14
If lines are parallel with a transversal, then these two angles are?
Vertical Angles
Corresponding Angles
Exterior Alternative
Interior Alternative
If lines are parallel with a transversal, then these two angles are?
Opposite Side Angles
Supplementary
Same Side Interior
Vertical Angles
If lines are parallel with a transversal, then these two angles are?
Corresponding Angles
Exterior Alternate Angles
Interior Alternate Angles
Vertical Angles
What is the supplement to an angle that measures 58 degrees?
58
180
132
122
If lines are parallel with a transversal, then these two angles are...
Supplementary Angles
Corresponding Angles
Alternate Exterior Angles
Parallel Angles
Which statements are true? Select all that apply.
Vertical angles are congruent.
Corresponding Angles are Supplementary.
Parallel Angles are Congruent.
Alternate Interior Angles are Congruent.
Solve for x
49
58
70
94
Find the missing angle.
28°
118°
62°
180°
Find the measure of x.
40
50
35
80
Find the measure of y.
50
140
40
80
Find the measure of z.
50
120
45
60
against a building 5 feet away. What angle does the ramp make with the ground?
Which of the following is a property of perpendicular lines?
They intersect to form a 45-degree angle.
They intersect to form a 90-degree angle.
They never intersect.
They are always the same length.
What type of triangle has one angle that is exactly 90 degrees?
Equilateral triangle
Isosceles triangle
Scalene triangle
Right triangle
Which of the following quadrilaterals has two pairs of parallel sides?
Rectangle
Trapezoid
Kite
Rhombus
Which figure has 2 pairs of parallel sides, 4 sides of equal length, and 4 right angles?
Rhombus
Square
Rectangle
Trapezoid
Which of the following shapes has line symmetry?
Scalene triangle
Rectangle
Parallelogram
Trapezoid
How many lines of symmetry does an equilateral triangle have?
1
2
3
0
What type of angle is formed by two rays that share a common endpoint?
Right angle
Obtuse angle
Acute angle
Any of the above
Which of the following is NOT a property of parallel lines?
They are always the same distance apart.
They never intersect.
They intersect to form right angles.
They can be found on opposite sides of a rectangle.
What is the name of a polygon with four sides?
Pentagon
Hexagon
Octagon
Quadrilateral
Which of the following triangles has three equal sides?
Equilateral triangle
Isosceles triangle
Scalene triangle
Right triangle
In which quadrilateral are the opposite angles equal?
Rectangle
Square
Rhombus
All of the above
Name the triangle that has sides with the length of: 8 inches, 4 inches, 7 inches
isosceles
scalene
equilateral
right
What is the term for a part of a line that has a fixed starting point but no end point?
Line segment
Ray
Vector
Linear path
Which of the following is a characteristic of a rhombus?
All sides are equal and parallel.
Only one pair of parallel sides.
All angles are equal.
Two pairs of adjacent sides are equal.
Which angle measure larger than 90 degrees?
obtuse
acute
right
straight
What is the shortest distance from Kayleigh to Isabella?
Describe how you would identify and find the value of this distance?
Match the following
81
9
16
4
9
3
144
12
49
7
Simplify 20
45
52
25
210
Already simplified
simplify 96
248
72
166
46
224
Create a right triangle using the segment as the hypotenuse of a right triangle. Find the measurements of the legs by counting the squares in the horizontal and the vertical.
Find the distance between each pair of points. Give your answer as a simplified radical. If you need to see an example click on the word help.
41
17
15
3
23
Which equation represents the Δx of the following two points.
(−5,1) and (−2,−1)
−5−1
−2−−1
−1−1
−2−−5
5−−2
Which equation represents the Δy of the following two points.
(−5,1) and (−2,−1)
−5−1
−2−−1
−1−1
−2−−5
5−−2
Find the distance between the following two points.
14
229
210
28
37
What is the distance between (−5,8) and (−8,4) . Round your answer to the nearest tenth if necessary.
(a)
Find the area and the perimeter of a triangle with vertices at the following points. (-4,8), (3,8), and (3,3). Round your answer to the nearest tenth.
Area= 17.5
Perimeter=20.6
Area=53.3
Perimeter=33.8
Area=14.8
Perimeter=19.2
Area=22.4
Perimeter=23.8
Find the area and the perimeter of a quadrilateral with vertices at the following points. (-6,-1), (-3,-4), (3,8), and (6,5). Round your answer to the nearest tenth.
Area=94.7
Perimeter=57.9
Area=53.3
Perimeter=33.8
Area=27.6
Perimeter=24.4
Area=18.4
Perimeter=48.5
This is the vertical value in a pair of coordinates. How far up or down the point is. Always written second in an ordered pair of coordinates (x,y).
Y - Coordinate
X - Coordinate
Horizontal
Vertical
This is the line on a graph that runs horizontally (left-right) through zero.
Y - Axis
X - Axis
Vertical Horiztonal
This is the part of a line that connects two points. It has 2 endpoints.
Line
Ray
Line Segment
Point
This is the plane containing the "x" axis and "y" axis.
Graph
Quadrant
Coordinate Plane
Axis
This is the formula for finding the distance half way from one point to the next.
Distance Formula
Pythagorean Theorem
Midpoint Formula
Vertical
This is any of the 4 areas made when we divide up a plane by an x and y axis, as shown. They are usually numbered I, II, III and IV
Formula
Quadrant
Coordinate Plane
This is the horizontal value in a pair of coordinates: how far along the point is. Always written first in an ordered pair of coordinates (x,y).
Y - Axis
X - Axis
Y - Coordinate
X - Coordinate
This is the formula for finding the distance from one point to the next.
Midpoint Formula
Pythagorean Theorem
Distance Formula
Equation
This is the line on a graph that runs vertically (up-down) through zero.
X - Axis
Y- Axis
X - Coordinate
Y - Coordinate
This is an example of
Line
Ray
Point
Line Segment
This is an example of:
Graph
Points
Coordinate Plane
This red line is an example of:
Points
Y - Coordinate
Y - Axis
Quadrant
The blue line is an example of
X - Axis
X - Coordinate
Quadrant
Graph
This is an example of
Coordinate points
Distance Formula
X and Y
Midpoint Formula
This is an example of
Graph
Quadrant
Roman Numerals
The 4 is an example of: (4 , 2)
X - Coordinate
Y - Coordinate
The 2 is an example of: (4 , 2)
X - Coordinate
Y - Coordinate
This is an example of:
Distance Formula
Square Root
Midpoint Formula
∠1 and ∠2 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
Supplementary angles always add up to
(a)
Which angle is a vertical angle to with ∠7 ?
∠1
∠5
∠3
∠6
∠9
2) Given the following two parallel lines cut by a transversal.
Which pair of angles represents corresponding angles?
∠1 and ∠6
∠6 and ∠5
∠7 and ∠8
∠4 and ∠8
3) Given the following two parallel lines cut by a transversal.
Which pair of angles represents alternate interior angles?
∠3 and ∠8
∠7 and ∠2
∠7 and ∠8
∠4 and ∠8
4) Given the following two parallel lines cut by a transversal.
Which pair of angles represents alternate exterior angles?
∠4 and ∠8
∠7 and ∠5
∠1 and ∠2
∠6 and ∠5
5) True or False.
If the following parallel lines are cut by a transversal, would∠2 and ∠6 be corresponding?
True
False
8) Given the following two parallel lines that have been cut by a transversal.
∠1 and which angle make up Alternate Interior angles?
∠6
∠5
∠3
7) Given the following two parallel lines that have been cut by a transversal.
True or False, ∠6 and ∠4 are vertical angles?
False
10)Given the two parallel lines cute by a transversal,
What is the measure of ∠5 ?
(a)
Angle 3 and Angle 6 are examples of which type of angle pair?
Alternate exterior angles
Alternate interior angles
Vertical angles
Corresponding angles
Angle 1 and Angle 5 are examples of which type of angle pair?
Alternate exterior angles
Alternate interior angles
Vertical angles
Corresponding angles
Which of the following angles would NOT be congruent to the measure of ∠7 ?
∠2
∠3
∠6
∠8
Check all TRUE statements.
These angles are congruent.
These angles are not congruent.
These angles are adjacent.
These angels are non-adjacent.
Check all TRUE statements.
The name of this angle is ∠ZYX
The name of this angle is ∠Y
The name of this angle is ∠YXZ
The name of this angle is ∠53°
The name of this angle is ∠XYZ
What is the proper notation for writing the angle measure?
Y=53
m∠ZYX=53
m∠XYZ≅53°
m∠Y=53°
Check all TRUE statements.
m∠FGD=31°
∠G=149°
∠G≅∠G
∠DGN≅∠TGF
m∠TNG=31°
Check all TRUE statements.
∠FDG & ∠NTG are Vertical Angles
∠FGT & ∠TGN form a Linear Pair
m∠NGD+m∠NGT=180°
∠DGF≅∠TGN
m∠FGD=m∠NGT
Which statement is TRUE?
These are congruent angles.
These are supplementary angles.
These are complementary angles.
These are adjacent angles.
These are vertical angles.
Check all TRUE statements.
These are non-adjacent angles.
These are adjacent angles.
These are supplementary angles.
These angles form a linear pair.
These are congruent angles.
Which statement is TRUE?
These angles are congruent.
These angles are complementary.
These angles are adjacent.
These are supplementary.
Check all TRUE statements.
∠ABD+∠DCB=∠CBA
m∠CBD+m∠ABD=m∠ABC
∠BCA has been bisected.
BD is the angle bisector.
∠ABD≅∠ABC
Check all TRUE statements.
Line l & Line m are intersecting lines.
∠1≅∠3
∠2+∠4=180°
∠2 & ∠3 are supplementary angles.
∠2 & ∠4 are vertical angles.
Check all TRUE statements.
These angles are vertical angles.
These angles are adjacent angles.
These angles share a common side.
These angles share a common vertex.
These angles are congruent.
Check all TRUE statements.
∠R≅∠Q
m∠R=m∠Q
m∠R≅m∠Q
∠R=∠Q
These angles are adjacent.
Check all TRUE statements.
∠1 & ∠3 are congruent angles.
∠1 & ∠3 are supplementary angles.
∠1 & ∠3 form a linear pair.
m∠7=m∠6
∠2 & ∠3 are vertical angles.
Check all TRUE statements.
m∠3+m∠4=180°
∠1=∠4
∠1≅∠4
∠1 & ∠4 are vertical angles.
∠1 & ∠4 are intersecting angles.
Check all TRUE statements.
∠6 & ∠8 are adjacent angles.
∠2 & ∠4 share a common vertex.
∠5 & ∠3 are adjacent angles.
∠7 & ∠5 are supplementary angles.
∠5 & ∠7 form a linear pair.
Adjacent angles can be...
(select all that apply)
congruent
non-congruent
supplementary
complementary
vertical
Supplementary angles can be...
(check all that apply)
congruent
adjacent
non-adjacent
vertical
non-congruent
Congruent angles can be...
(check all that apply)
non-adjacent
different measures
adjacent
supplementary
complementary
Which of the following is true about the conditional statement below?
If a man is 7 feet tall, then he plays basketball.
Hypothesis: a man is 7 feet tall
Conclusion: he plays basketball
Hypothesis: IF a man is 7 feet tall
Conclusion: THEN he plays basketball
Hypothesis: THEN he plays basketball
Conclusion: IF a man is 7 feet tall
Hypothesis: he plays basketball
Conclusion: a man is 7 feet tall
Which of the following is true about the conditional statement below?
If you are flying, then you are in a
jet.
Hypothesis: you are flying
Conclusion: you are in a
jet
Hypothesis: IF you are flying
Conclusion: THEN you are in a
jet
Hypothesis: THEN you are in a
jet
Conclusion: IF you are flying
Hypothesis: you are in a
jet
Conclusion: you are flying
Which of the following is true about the conditional statement below?
If you are in Alaska, then you are
cold.
Hypothesis: you are in Alaska
Conclusion: you are
cold
Hypothesis: IF you are in Alaska
Conclusion: THEN you are
cold
Hypothesis: THEN you are
cold
Conclusion: IF you are in Alaska
Hypothesis: you are
cold
Conclusion: you are in Alaska
Which of the following is the CONVERSE of the statement below?
If an object is a ring, then it is
made of gold.
If an object is made of gold, then it is a ring.
If an object is not a ring, then it is not made of god.
If an object is not made of gold, then it is not a ring.
There is no converse of the statement.
Which of the following is the CONVERSE of the statement below?
If an object is a bird, then it can fly.
If an object can fly, then it is a bird.
If an object is not a bird, then it cannot fly
If an object cannot fly, then it is not a bird
There is no converse of the statement
Which of the following is the CONVERSE of the statement below?
If your grade is a 96, then you are
making an A.
If you are making an A, then your grade is a 96.
If you are not making an A, then your grade is not a 96.
If your grade is not a 96, then you are not making an A.
There is no converse of the statement.
Which of the following is the CONVERSE of the statement below?
If you play football, then you wear
a uniform.
If you wear a uniform, then you play football.
If you do not play football, then you do not wear a uniform.
If you do not wear a uniform, then you do not play football.
There is no converse of the statement.
Which of the following is the INVERSE of the statement below?
If an object is a computer, then it
has a hard drive.
If an object is not a computer, then it does not have a hard drive.
If an object does not have a hard drive, then it is not a computer.
If an object has a hard drive, then it is a computer.
There is no inverse of the statement.
Which of the following is the INVERSE of the statement below?
If an object is a battery, then it is
rechargeable.
If an object is not a battery, then it is not
rechargeable.
If an object is rechargeable, then it is not a battery.
If an object is not rechargeable, then it is not a battery.
There is no inverse of the statement.
Which of the following is the INVERSE of the statement below?
If an animal is black and white,
then it is a penguin.
If an animal is not black and white, then it is not a penguin
If an animal is a penguin, then it is black and white.
If an animal is not a penguin, then it is not black and white.
There is no inverse of the statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a species walks on two feet, then
it is human.
If a species is not human, then it does not walk on two feet.
If a species is human, then it walks on two feet.
If a species does not walk on two feet, then it is not human.
There is no contrapositive of the statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a gem is a ruby, then it is red.
If a gem is not red, then it is not a ruby.
If a gem is not a ruby, then it is not red.
If a gem is red, then it is a ruby.
There is no contrapositive statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a species is a fish, then it lives in
water.
If a species does not live in water, then it is not a fish.
If a species is not a fish, then it does not live in water.
If a species lives in water, then it is a fish.
There is not contrapositive of the statement.
Which of the following is a valid conditional statement for the following phrase:
An acute angle has a measure less than 90°.
If an angle is acute, then it has a measure less than 90°.
If an angle is not acute, then it does not have a measure less than 90°.
If an angle is acute, then it is acute.
If an angle does not measure less than 90°, then it is not acute.
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
If an angle does not have a measure less than 90°, then it is not acute.
Contrapositive
Converse
Biconditional
Inverse
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
If an angle has a measure less than 90°, then it is acute.
Converse
Contrapositive
Biconditional
Inverse
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
If an angle is not acute, then it does not have a measure less than 90°.
Inverse
Contrapositive
Biconditional
Converse
What is the converse?
Which shape appears similar to A?
B
C
D
None
How could you describe these shapes?
Similar
Congruent
Neither
How could you describe these shapes?
Similar
Congruent
Neither
How could you describe these shapes?
Similar
Congruent
Neither
How could you describe these shapes?
Similar
Congruent
Neither
congruent
similar
How could you describe these shapes?
Similar
Congruent
Neither
How could you describe these shapes?
Similar
Congruent
Neither
How could you describe these shapes?
Similar
Congruent
Neither
The figures are congruent. Name one pair of corresponding angles.
Q and W
R and Z
S and Z
T and P
Remember order matters. Which of the following is true?
∆FGH ≅ ∆VHW
∆HFG ≅ ∆HWV
∆HGF ≅ ∆VHW
∆FGH ≅ ∆VWH
∠A ≅
∠M
∠N
∠L
JK ≅ ?
KX
JK
XJ
KI
CB ≅ ?
∠I
GI
IB
BG
LK ≅ ?
JE
JF
EF
KJ
ML ≅ ?
CL
LD
DC
NL
BC ≅ ?
XW
XY
YW
BC
∠D ≅ ?
∠X
∠W
∠Y
∠C
∠NLM ≅ ?
∠DLC
∠D
∠N
∠C
∠EJF ≅ ?
∠L
∠E
∠LJK
∠F
∠CBD ≅ ?
∠G
∠I
∠IBG
∠C
∠I≅ ?
∠X
∠XKJ
∠KJX
∠IJK
Write a congruence statement for the triangles.
ΔTUV≅ΔLJV
ΔTUV≅ΔJVL
ΔUTV≅ΔLVJ
ΔUTV≅ΔJVL
Write a congruence statement for the triangles.
ΔIHG≅ΔQRP
ΔHIG≅ΔQPR
ΔIHG≅ΔRQP
ΔGHI≅ΔQPR
Write a congruence statement for the triangles.
ΔRQS≅ΔWRV
ΔQSR≅ΔVRW
ΔRQS≅ΔRVW
ΔSRQ≅ΔVWR
Write a congruence statement for the triangles.
ΔLMK≅ΔYXZ
ΔLMK≅ΔZYX
ΔMLK≅ΔZYX
ΔMLK≅ΔXYZ
Are the following congruent? Why or why not?
Yes, they have the same shape & same size.
No, they have the same shape & different sizes.
No, they have different shapes.
Are the triangles congruent, if yes, why?
SSS
SAS
ASA
Not Congruent
Are the triangles congruent, if yes, why?
SAS
ASA
SSS
Not Congruent
Are the triangles congruent, if yes, why?
SSS
SAS
ASA
Not Congruent
What is the correct congruence statement? ΔLEU≅______
ΔLGE
ΔLEG
ΔELG
Not Congruent
What is the correct congruence statement? ΔDEC ≅________
ΔAEB
ΔEAB
ΔBEA
Not Congruent
Name the postulate, if possible, that makes the triangles congruent.
SSS
SAS
ASA
Not Possible
Name the postulate, if possible, that makes the triangles congruent.
SAS
ASA
AAS
Not Possible
∠A ≅∠?
∠B
∠E
∠D
∠F
which is true?
Which is a true statement?
∠K ≅ ____
∠F = ∠ ___
ΔEDF ≅ Δ____
ABC
CAB
BAC
Based on the image, match the given angles or segments with their corresponding, congruent parts.
∡ EFI
∡ GFH
∡ H
∡ I
GH
EI
FG
FE
HF
IF
Match each angle or segment with its corresponding, congruent part.
∡ EGF
∡ HFG
∡ EFG
∡ HGF
∡ FIE
∡ GIH
FH
GE
GI
FI
Which of the following is a correct congruence statement for the triangles in the image?
ΔOGD≅ΔPRC
ΔGOD≅ΔCPR
ΔODG≅ΔCRP
ΔGDO≅ΔRPC
Which of the following is a correct congruence statement for the triangles in the image?
ΔCAR≅ΔGEO
ΔCAR≅ΔEGO
ΔARC≅ΔGEO
ΔARC≅ΔEGO
Which of the following is a correct congruence statement for the triangles in the image?
ΔXOB≅ΔOXF
ΔFOX≅ΔBOX
ΔXOF≅ΔBOX
ΔFXO≅ΔBXO
Which of the following is a correct congruence statement for the triangles in the image?
ΔGED≅ΔEGF
ΔDEG≅ΔFEG
ΔDGE≅ΔFGE
ΔDEG≅ΔEFG
Given: ΔABD≅ΔCDB
Find the value of x.
26
33
18
23
Given: ΔQPR≅ΔNMR
Find the value of x.
13
9
18
33
Given: ΔVXW≅ΔVYZ
Find the value of a.
9
16
10
13
Given: ΔYXW≅ΔXYZ
Find the value of p.
2
9
0
4
and (-10, -5)
M is the midpoint of PQ. M(2,1), and P(2,5), find Q.
Q(4,6)
Q(0,-4)
Q(2,-3)
P(2,6)
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)
(0, -1)
(6, 1)
(1, 6)
(0, 1)
What is the correct postulate for the figure?
AM+MB=AMB
AB+AM=MB
AM+MB=AB
A+B=AMB
Type the Segment Addition Postulate for the image.
(a)
What is the length of PR?
11
8
5
3
What is the length of AC?
40
100
72
104
What is the length of AB?
14
9
5
4
What is the length of YZ?
39
139
37
31
What is the length of AB?
34
18
16
110
Solve for x.
5
7
14
21
Which of these is NOT a length of a segment in the picture if AC is 18?
1
18
3
17
Where might the Segment Addition Postulate be used in real life?
From 1-5 with 5 being very confident, how confident do you feel with the Segment Addition Postulate?
1
2
3
4
5
3. Find the indicated measure. (Enter number value only)
(a)
4. Find the indicated angle measure. (Enter number value only)
(a)
5-9. Match the angle with its correct measure and classification.
∠MLN
60, ACUTE
∠NLP
70, ACUTE
∠NLQ
120, OBTUSE
∠OLP
40, ACUTE
∠MLQ
180, STRAIGHT
82 × 21
162
161
81
Bella has 32 songs on her iphone. Three-eighths of those songs are by Justin Timberlake. How many Justin Timberlake songs does Bella have on her iphone?
12 songs
15 songs
9 songs
18 songs
