Worksheetsfibal g10 term 1
Total questions: 264
Worksheet time: 12hrs 41mins
What kind of angles are ∠1 and ∠2 ?
Exterior angles
Vertical angles
A Linear Pair
Corresponding angles
Alternate Interior angles
What kind of angles are ∠1 and ∠2 ?
Exterior angles
Vertical angles
A Linear Pair
Corresponding angles
Alternate Interior angles
Given: ∠5 = 163°, EF ∥ CD
Find the angles that measure 17*. (Mark all that apply)
∠1
∠2
∠3
∠4
∠6
Given: ∠4 = 117°, EF ∥ CD
Choose the angles that also measure 117*. (Mark all that apply)
∠1
∠2
∠5
∠6
∠8
When two parallel lines are cut by a transversal, then: (select all that apply)
Vertical angles are congruent.
The exterior angle is equal to the sum of the two remote interior angles
Corresponding angles are congruent
Alternate interior angles are congruent
Same-side interior angles are congruent
Select the pairs of angles that are Same Side Interior Angles. (Select all that apply)
∠1 and ∠7
∠4 and ∠6
∠2 and ∠4
∠3 and ∠5
∠6 and ∠7
Select the pairs of angles that are Alternate Interior Angles. (Select all that apply)
∠3 and ∠6
∠4 and ∠5
∠1 and ∠6
∠3 and ∠5
∠6 and ∠7
The definition of a linear pair includes
(select all that apply)
Two angles share a vertex
Two angles make a straight angle
The sum of the measures of a linear pair are 180*
Two angles that are complementary angles
∠1 and ∠2 are __.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
∠8 and ∠6 are __.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
∠3 and ∠7 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
∠3 and ∠2 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
∠7 and ∠5 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
∠4 and ∠8 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
∠5 and ∠6 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
∠1 and ∠4 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
∠2 and ∠3 are ___.
Alternate Interior Angles
Alternate Exterior Angles
Same-side Interior Angles
Corresponding Angles
None of these
Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?
___________ 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
What is the intersection of planes R and P?
Point I
Point H
line HI
ray HI
How many noncollinear points determine a plane?
1
2
3
infinitely many
This geometric object is finite and has 2 endpoints
Line
Ray
Plane
Line Segment
This geometric object has no dimension and is represented as a single dot in space
point
line
plane
ray
This has one endpoint and extends infinitely in 1 direction
Line
point
line segment
ray
Points on the SAME PLANE
Coplanar points
collinear points
Cosame points
Co points
These two lines will never intersect
Parallel Lines
Perpendicular lines
Bisector
Not possible
Formed by two rays that share a common end point
Angle
Opposite Rays
Congruent
Line
Two angles that add to be 90 degrees
Supplementary
Complementary
Angles
Right Angle
Two angles that add to be 180 degrees
Supplementary
Complementary
Angles
Straight Line
Name the angle in the image
∠OAB
∠OBA
∠AOB
∠BOA
The symbol ⊥ is used for which of the following notations?
Parallel Lines
Perpendicular lines
Congruency
Opposite Rays
Challenge problem: Segment DP is an angle bisector
12.5
25
75
50
name the plane that is highlighted in the diagram.
Plane WVQ
Plane TWS
Plane PSR
Plane SRW
If the measure of ∠ABC=98∘ and BD is an angle bisector. What is the measure of ∠ABD and ∠DBC ?
196
98
49
Can't be determined
A transversal...
is parallel to a line.
cuts across two lines.
cuts across one line.
is perpendicular to a line.
Alternate angles are...
on the same side of the transversal.
on opposite sides of the transversal.
not sharing a side with the transversal.
are not on the same plane as the transversal.
Interior angles are...
on the inside of the lines cut by the transversal.
on the outside of the lines cut by the transversal.
not sharing a side with the transversal.
not on the same plane as the transversal.
Exterior angles are...
on the inside of the lines cut by the transversal.
on the outside of the lines cut by the transversal.
not sharing a side with the transversal.
not on the same plane as the transversal.
Angle F and angle B are...
Consecutive interior angles.
Consecutive exterior angles.
Alterior interior angles.
Alterior exterior angles.
Corresponding angles.
Angle D and angle E are...
Consecutive interior angles.
Consecutive exterior angles.
Alterior interior angles.
Alterior exterior angles.
Corresponding angles.
Angle A and angle H are...
Consecutive interior angles.
Consecutive exterior angles.
Alterior interior angles.
Alterior exterior angles.
Corresponding angles.
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
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
What is the angle relationship?
Alternate Interior
Corresponding
Same Side Interior
Same Side Exterior
What is the angle relationship?
Corresponding
Congruent
Linear Pair
Vertical
The angles are
Congruent
Supplementary
Name a pair of same side angles:
1 & 7
1 & 2
5 & 8
2 & 7
Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?
The middle of a line is called the _______________.
endpoint
midpoint
slope
distance
Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)
(-1,0)
(4,9)
(6,7)
(7,9)
Find the midpoint of the line segment with the given endpoints (6,-6) and (-10,-10)
(8,2)
(-26,-14)
(0,-10)
(-2,-8)
Which figure below illustrates the statement "J is the midpoint of segment DK"?
Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.
A
B
C
D
What is the distance between AB
0
8
9
7
What is the slope of a vertical line?
0
undefined
y
x
What is the slope between the points
(-3, -4) & (7, 6)?
0
-1
2
1
Find the slope
25
2−5
51
15
What type of angles are these? (select 2)
Adjacent Angles
Linear Pair
Complementary Angles
Supplementary Angles
Vertical Angles
Supplementary angles always add up to
(a)
Complementary angles always add up to
(a)
Which angles are vertical angles?
∠8 & ∠7
∠8 & ∠6
∠8 & ∠5
Which angle is a vertical angle to with ∠7 ?
∠1
∠5
∠3
∠6
∠9
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
Angle 6 and Angle 7 are examples of which type of angle pair?
Alternate exterior angles
Alternate interior angles
Vertical angles
Corresponding angles
Which of the following is NOT an example of supplementary angles?
∠7 and ∠8
∠2 and ∠3
∠1 and ∠7
∠6 and ∠4
If the m∠7 = 115°, find the measure of ∠2.
115°
65°
180°
Cannot be determined
Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?
distance
line
plane
point
Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)?
distance
line
plane
point
According to the number line, what is the distance between points A and B?
6 units
7 units
12 units
14 units
Which distance measures 7 units?
the distance between points L and M
the distance between points L and N
the distance between points M and N
the distance between points M and P
Which best describes the dimensions of a line?
A line has zero dimensions because it represents a location on the coordinate plane.
A line has one dimension because it is made up of all points that extend infinitely in either direction.
A line has two dimensions because it is made up of three noncollinear points.
A line has multiple dimensions depending on how many labeled points it contains.
Which statements are true regarding undefinable terms in geometry? Select two options.
A point in the form (x, y) has two dimensions.
A plane has a definite beginning and end.
A line has one dimension, length.
A point consists of an infinite set of lines.
A plane consists of an infinite set of lines.
Which statements are true regarding undefinable terms in geometry? Select two options.
A point’s location on the coordinate plane is indicated by an ordered pair, (x, y).
A point has one dimension, length.
A line has length and width.
A distance along a line must have no beginning or end.
A plane consists of an infinite set of points.
What are three collinear points on line l?
points A, B, and F
points A, F, and G
points B, C, and D
points B, F, and G
Consider points R, S, and T. Which statement is true about the geometric figure that can contain these points?
No line can be drawn through any pair of the points.
One line can be drawn through all three points.
One plane can be drawn so it contains all three points.
Two planes can be drawn so that each one contains all three points.
Points J and K lie in plane H. How many lines can be drawn through points J and K?
0
1
2
3
Planes A and B intersect. Which describes the intersection of plane A and line m?
line k
line n
point X
point W
Planes A and B intersect. Which describes the intersection of line m and line n?
point W
point X
point Y
point Z
Planes X and Y and points C, D, E, and F are shown. Which statement is true about the points and planes?
The line that can be drawn through points C and D is contained in plane Y.
The line that can be drawn through points D and E is contained in plane Y.
The only point that can lie in plane X is point F.
The only points that can lie in plane Y are points D and E.
Planes X and Y and points J, K, L, M, and N are shown. Exactly how many planes contain points J, K, and N?
0
1
2
3
Plane H is shown. Which points are coplanar and noncollinear?
points A and D
points C and D
points A, C, and D
points A, B, and D
Planes A and B both intersect plane S. Which statements are true based on the diagram? Select three options.
Points N and K are on plane A and plane S.
Points P and M are on plane B and plane S.
Point P is the intersection of line n and line g.
Points M, P, and Q are noncollinear.
Line d intersects plane A at point N.
When you reflect a point over the y-axis, the ____________ changes.
x-coordinate
y-coordinate
If you reflect the point D ( 5, -1) over the y-axis, what is the reflected point?
D' ( -5, -1)
D' ( 5, -1)
D' ( -5, 1)
D' ( 5, 1)
Which graph best describes a shape that is reflected over the x - axis?
(x, y) ----> (x + 2, y - 3)
Are the figures congruent?
(What type of transformation is shown?)
Congruent (rotation)
Congruent (reflection)
NOT Congruent (rotation)
NOT Congruent (reflection)
Are the figures congruent?
(What type of transformation is shown?)
Congruent (rotation)
Congruent (reflection)
NOT Congruent (rotation)
NOT Congruent (reflection)
If we say the preimage and image are congruent what is that called?
Rigid Motion
Isometry
Definition of Congruence
Congruence Theorem
Definition of Transformations
Which of the following transformations are rigid motions?
Translation
Rotation
Reflection
All of the Above
None of the Above
The vertices of triangle GHI are G(1, 2), H(3, 4), and I(4, 2). The triangle will be reflected across the x-axis. What will be the coordinates of the image point H′?
(-3, 4)
(3, -4)
(-3, -4)
(3, 4)
What is this picture an example of?
Reflection
Translation
Rotation
Dilation
Zach and Naomi are studying geometric transformations. Zach is able to move the triangle A to A′ using the following sequence of basic transformations:
1. Reflection across the x-axis.2. Reflection across the y-axis.
3. Translation two units to the right.
Naomi claims that the same three transformations, done in any order will always produce the same result. Zach disagrees. Who is correct?
Zach
Naomi
Both are correct
Both are incorrect
If the figure DEFG is reflected about the line x=3 what is the image of D?
D'=(5,3)
D'=(-7,3)
D'=(1,3)
D'=(3,5)
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)
(0, -1)
(6, 1)
(1, 6)
(0, 1)
(3, 1)
(3.5, 1)
(4, 1)
(2, 0)
Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?
What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?
(-1, 7)
(2, 7)
(7, -1)
(2, 2)
(x, y) -----> (x, y +4)
Describe the transformation that has occured.
Translation of 4 units to the left
Reflection over the y-axis
Reflection over the x-axis
Translation of 4 units to the right
Describe the Translation using words: <-2,0>
(a)
What directions would you give?
Reflect over the line: ________
What is the mirror line for this reflection?
y=4
x=-3
y=x
y= -x
What shape is the result of a reflection across the x-axis from shape E?
A
C
B
D
What is used to denote an image?
(a)
A part of a line that begins at a point and continues forever in one direction.
(a)
A transformation that slides
each point of a figure the same distance in
the same direction.
(a)
(x,y) --> (-x,y)?
The before picture is called the (a) ?
Write the following translation in vector form: 4 left and 5 down
(a)
A LINE is named by...
any 1 on the line
any 3 points on the line
any 2 points on the line or a lowercase script letter
any 3 points on the line of an uppercase script letter
Two lines intersect at...
a point
a plane
a line
a letter
Two planes intersect at...
two points
a point
a line segment
a line
What is another name for plane Q?
plane EFG
plane GIQ
plane IFG
Plane EG
AB is the name of a...
line
ray
line segment
plane
Find the length between H and F.
-5
5
-6
6
If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?
11
12
8
How is the distance formula correctly written:
d = (y1 − y2)2 −(x2 − x1)2
d = (x2 − x1)2 + (y2 − y1 )2
d = (y1 − y2)2 + (x2 − x1)2
d = (x)2− (y)2
How is AB written in the distance formula?
d = (5−3)2 + (0−−2)2
d = (2−5)2 + (3 −0)2
d = (5−3)2 − (0−−2)2
d = (4−3)2 − (2−4)2
Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?
Find the missing endpoint of a segment if the midpoint is at (2, -5) and the other endpoint is at (12, -5).
(2, -5)
(10, -8)
(-8, -5)
(12, -5)
What is the coordinate of so that point Q is 53 the distance from A to B.
-17
-14
-11
-8
M is the midpoint of the line segment. Find the value of x.
x=47
x=19
x=33
x= -47
y = -1/3x - 5
y = 1/3x + 2
Which answer choice describes the two lines?
m = 5 and m = -1/5
m = -1/3 and m = -1/3
What is surface area?
The distance around the outside of a two-dimensional figure
The number of square units in a two-dimensional figure
The number of cubic units needed to fill a three-dimensional figure.
The sum of the areas of all surfaces on a three-dimensional figure
Find the Total Surface area of the cylinder. Round to the nearest tenth.
62.8m
477.3 cm2
235.5 cm3
942.0 cm2
Find the total surface area of the cylinder. Round to the nearest tenth.
60.4 m2
188.4 m2
94.2 m2
881.9 m2
Find the surface area of the figure. Don't forget to divide the diameter by 2 to find the radius. Round to the nearest tenth.
628.3 m2
1445.1 m2
1245 m2
816.8 m2
Find the total surface area of the cone. Round to the nearest tenth.
37.7 m²
50.3 m²
75.4 m²
25.1 m²
Find the total surface area of this figure.
Round to the nearest hundredth.
84.44 sq in
25.25 sq in
104.62 sq in
56.52 sq in
A paper party hat, like the one shown, has a slant height of 6 inches and a radius of 5 inches. How many square inches of cardboard would be needed to create this hat?
94.3 in.2
172.8 in.2
50 in.2
22.5 in.2
Which answer shows a reflection across the y-axis?
a
b
c
d
What is the mirror line for this reflection?
y=4
x=-3
y=x
y= -x
Which pair have a line of reflection of x = -2?
A & B
B & C
G & H
E & F
(x, y) ----> (x + 2, y - 3)
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
(x, y) → (x+5, y−5)
(x, y) → (x+1, y−5)
(x, y) → (x+5, y−8)
(x, y) → (x+4, y−5)
What is the following shape?
Cube
Rectangular Prism
Pyramid
Sphere
What is the following figure?
Circle
Prism
Sphere
Ball
What is the following figure?
Pyramid
Triangle
Square
Prism
What is the following figure?
Hat
Prism
Triangle
Cone
What is the following figure?
Cylinder
Circle
Circle Prism
Square
How many faces does the above shape have?
4
6
8
12
How many edges does the above shape have?
8
12
16
2
How many vertices does the above shape have?
2
4
6
8
Is surface area.......
Filling in a 3 dimensional shape
wrapping the outside of a 3 dimensional shape
What is the Surface Area?
72 ft2
128 ft2
188 ft2
212 ft2
What is the Volume?
125.3 yd3
422.1 yd3
235.5 yd3
532.5 yd3
What is the Volume?
287.83 in3
23.72 in3
237.93 in3
827.83 in3
What is the Surface Area?
987.21 mi3
1017.36 mi3
127.76 mi3
2013.74 mi3
What is the Volume?
940
840
240
140
What is the Volume?
124.98 in3
803.84 in3
200.96 in3
267.95 in3
What is the Surface Area?
135.65 m2
242.32 m2
872.89 m2
825.25 m2
What is the Volume?
91.67 m3
25.32 m3
213.84 m3
294.45 m3
What is the Surface Area?
43.8 km2
74.2 km2
59.2 km2
14.5 km2
What is the Surface Area?
1381.6 mi2
2314.6 mi2
7291.7 mi2
528.4 mi2
Are the lines given by the equations parallel, perpendicular, or neither?
y=−47x+8
y=47x−9
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=−21x+10
y=−2x−7
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=−43x+13
y=34x−8
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=83x+12
y=38x+4
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=−43x+1
y=−43x+9
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=21x−8
y=21x−9
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=−3x+6
y=−3x−20
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=−67x−19
y=76x+3
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=x−6
y=x+21
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=4x+1
y=−4x−9
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=−7x−2
y=−71x−2
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=−x−5
y=x+10
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=12x−1
y=12x−4
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=21x+6
y=21x−1
Parallel
Perpendicular
Neither
Are the lines given by the equations parallel, perpendicular, or neither?
y=54x+4
y=−45x−2
Parallel
Perpendicular
Neither
How is the distance formula correctly written:
d = (y1 − y2)2 −(x2 − x1)2
d = (x2 − x1)2 + (y2 − y1 )2
d = (y1 − y2)2 + (x2 − x1)2
d = (x)2− (y)2
A(3,1) B(-2,-1) written correctly is:
(−2−3)2 + (−1−1)2
(1−3)2 + (−1−2)2
(−2−3)2 − (−1−1)2
(−2−3)2 − (−1−1)2
What is the distance between AB
0
8
9
7
What is the distance between AB?
0
undefined
5
4
How is AB written in the distance formula?
d = (5−3)2 + (0−−2)2
d = (2−5)2 + (3 −0)2
d = (5−3)2 − (0−−2)2
d = (4−3)2 − (2−4)2
AB = 5 on the coordinate plane shown. If B(2,1), which point could NOT be another location of A?
(-1,5)
(6,4)
(-2,-2)
(4,-3)
(-3,1)
The distance formula is another way to write which of the following?
quadratic formula
slope formula
Pythagorean theorem
none of these answers
