WorksheetsGeometry All Year Review
Total questions: 198
Worksheet time: 9hrs 37mins
What type of angles are highlighted above?
Alternate Exterior Angles
Consecutive Interior Angles
Corresponding Angles
Alternate Interior Angles
An angle bisector cuts and angle into two pieces that are NOT congruent.
True
False
Name 3 collinear points.
S, Q, R
T, Q, R
S, Q, P
P, Q, R
Parallel lines have the ______ slope.
opposite reciprocal
same
negative
Are these triangles congruent?
Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.
SSS
AAA
ASA
SSA
AAS
m = 3/4
Line 1: (15, 20), (17, 18)
Line 2: (-22, -18), (-20, -16)
The two lines are _____________________.
Parallel
Perpendicular
Neither
Line 1: (−1, 2), (2, 3)
Line 2: (0, 0), (3, 1)
These two lines are ______________________
Parallel
Perendicular
Neither
Which two lines are parallel?
Line A and Line B
Line A and Line C
Line B and Line C
Which two lines are perpendicular?
Line A and Line B
Line B and Line C
Line A and Line C
y=4x-2
y-3=-1/4(x-8)
(6, 5) (4, -3)
Name the three dimensional shape that the object is shaped like.
rectangular prism
cone
sphere
Name the three dimensional shape that the object is shaped like.
Sphere
cone
cube
Name the three dimensional shape that the object is shaped like.
cone
square pyramid
sphere
cylinder
Name the three dimensional shape that the object is shaped like.
sphere
cube
cylinder
square pyramid
Name the three dimensional shape that the object is shaped like.
cube
cylinder
square
rectangular prism
Name the three dimensional shape that the object is shaped like.
cylinder
sphere
cone
cube
How many vertices does the cube have?
1 vertice
8 vertices
12 vertices
How many faces does the cube have?
6 faces
2 faces
10 faces
18
19
20
22
25
(−12,1)
(−12,−1)
(12,−1)
(1,12)
(1,−12)
14°
28°
29°
58°
Cannot be determined from the given information
30
60
303
305
605
28
57
113
254
283
(x+4)2+y2=4
(x−4)2+y2=16
(x−4)2−y2=16
(x−4)2+y2=4
x2+(y−4)2=16
300π
400π
500π
600π
1,600π
x+4
x2+4
x2+8
x2−16
x2+16
221
23
521
53
52
x = 5°
x = 11°
x = 33°
x = 55°
Find the value of x.
1/2
1
2
Cannot be determined.
The example from the video is shown. What was used to find AF?
The Pythagorean Theorem (a2+b2=c2)
Triangle Sum Theorem (triangle = 180)
Definition of bisector
Trig (SOH-CAH-TOA)
If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?
any length
equal to 10
greater than 10
less than 10
Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?
6
7
5
4
Write an equation of a line that passes through the point (5,-1) and is parallel to the line 3x+5y=−15
y=−53x+2
y=−53x−2
y=53x+2
y=35x+2
against a building 5 feet away. What angle does the ramp make with the ground?
What transformation (movement) is this?
Rotation (turn)
Translation (slide)
Reflection (flip)
A
B
C
D
F
G
H
J
What is the value of x? Do not use spaces in your answer.
(a)
A
B
C
D
F
G
H
J
A
B
C
D
Which illustration shows the correct construction of an angle bisector?
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
If ABCD is a parallelogram, which statement would prove a that ABCD is a rectangle?
∠ABC ≅ ∠CDA
AC ≅ BD
AC ⟂ BD
∠ABD ≅ ∠DBC
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
Which is used to represents a "line"?
Which is used to represents a "line segment" ?
√80 is equivalent to
Find the missing side length. Leave answer in simplest radical form.
A
B
C
D
Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?
Directed line segment AB is partitioned by point P. AP : AB = 1:4. Which of the following represent this relationship?
Directed line segment AB is partitioned by point P into a ratio of 1:4. Which of the following represent this relationship?
Directed line segment AB is partitioned by point P. AP:AB= 2:5. Which of the following represent this relationship?
Find the point that is 2/5 of the distance from C to D.
(-1, 2)
(0, 0)
Find P, so that AP is two-sevenths of PB. A is a (-5, 8) and B is at (9, 3).
(12, 11/7)
(-1, 53/7)
(-1, 46/7)
(13, 11/7)
In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)
15
6
-24
14
What are the coordinates of the center and the radius of the circle with equation (x - 4)2 + (y - 3)2 = 25 ?
Center (4, 3)
Radius = 5 units
Center (4, 3)
Radius = 25 units
Center (-4, -3)
Radius = 25 units
Center (-4, -3)
Radius = 5 units
Write the standard equation of the circle with the given center and radius; center (0, 0) and radius of 3.
x2 + y2 = 4
x2 + y2 = 81
x2 + y2 = 9
x2 + y2 = 3
What is the radius of the circle with this equation of (x - 5)² + (y + 7)² = 8?
4
8
4√2
2√2
A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.
(x - 6)2 + (y + 4)2 = 49
(x + 4)2 + (y - 6)2 = 49
(x - 6)2 + (y + 4)2 = 55
x2 + y2 = 55
Write the equation of the circle with center C( -5 , 8 ) and radius = 7
( x - 5 )2 + ( y + 8 )2 = 14
( x - 5 )2 + ( y - 8 )2 = 49
( x - 5 )2 + ( y + 8 )2 = 49
( x + 5 )2 + ( y - 8 )2 = 49
Identify the property of circles portrayed in the image provided.
Angle at centre twice angle at circumference
Angles in the same segment
Equal chords
No relation between angles
Identify the property of circles portrayed in the image provided
Angles in Opposite Segment
Angles in Same Segment
Angles in Semicircle
Equal Chords
Which of the following is true?
The two chords are equal in length
MON is a straight line
OM and ON are radius of circle
SR and PQ are diameter of circle
Identify the property of circles portrayed in the image provided.
Angles in the same segment
Angles in semi-circle
Angle at centre twice angle at circumference
No relation between angles
Study the question and diagram and choose the correct answer.
30o
60o
90o
120o
Study the question and diagram and choose the correct answer.
15o
60o
90o
150o
∠K=
45°
135°
88°
8°
∠J=
88°
45°
135°
108°
96°
129
84°
49°
∠V=
84°
129°
49°
96°
∠LKM is a ......
Inscribed angle
Central angle
None of above
? = (a) degrees
? = (a) degrees
? = (a) degrees
Which one is the correct construction for a perpendicular bisector?
1
2
3
4
What must be true?
1
2
3
4
Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?
Eric should have started by putting the compass needle point at the midpoint of the segment AB.
On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.
Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.
Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.
Which of the following shows a construction of a 45o angle?
All of the constructions show a 45o angle
Which construction shows the construction of the median of side AB?
Find the volume of the given sphere.
3,817.9 cubic mm
2,506.2 cubic mm
2,000.8 cubic mm
2,144.7 cubic mm
Which figure can have the same cross section as a sphere?
William is drawing pictures of cross sections of the right circular cone above.
Which drawing can not be a cross section of a cone?
A cube with a cylinder is cut from the center along the plane shown. Which of the following is the cross-section created?
A cube with a cylinder cut from its center is cut along the plane shown. Which cross-section is created?
What is surface area?
Inside of the object
the sum of all the areas of all the shapes that cover the surface of the object.
Surface area is space occupied by the solid
Top area
What is the total surface area formula for a cylinder?
SA = πrl + πr2
SA = 2πrh + 2πr2
SA = 4πr2
SA = πr2h
Find the area of the sector, rounding your answer to 1d.p.
15.4m2
15.3m2
15.5m2
15.6cm2
Find the area of the shaded region.
125.7 cm2
40 cm2
103.7 cm2
33 cm2
Name the pictured part of the circle.
Radius
Central Angle
Sector
Center
Arc
