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Geometry Questions

Total questions: 115

Worksheet time: 7hrs 30mins

Name
Class
Date
1.

Use the diagram below to answer a-e. Give another name for plane M.

a)

CBD

b)

CQB

c)

Plane k

d)

CFD

2.

Name 2 rays with endpoint B. Which of these rays are opposite rays? ____ is opposite ray with ______ (Reminder!: Write the ray notation on the test! Ask now if you do not know what that looks like!)

a)

Ray CB and Ray CD

b)

Ray BQ and Ray BC

c)

Ray BC and Ray BD

d)

Ray B

e)

Ray k

3.

Plot S (–1, 2), T (–1, 1), U (3, –5), and V (3, –2) in a coordinate plane. Then determine whether ST and UV are congruent.

a)

Yes, ST and UV are congruent.

b)

No, ST and UV are not congruent.

4.

Point B is between points A and C on segment AC. Use the information to write an equation in terms of x. Then solve the equation and find AB and AC. AB = 3x + 5, BC = 2x + 4, AC = x + 29. What is the value of x?

a)

x = 2

b)

x = 3

c)

x = 4

d)

x = 5

5.

Identify the bisector of ST. Then find ST.

a)

Bisector 1

b)

Bisector 2

c)

Bisector 3

d)

Bisector 4

6.

The midpoint M and one endpoint of JK are given. Find the coordinates of the other endpoint. M(0,–1) and K(–5,0)

a)

(5, -2)

b)

(5, -1)

c)

(0, -2)

d)

(0, 1)

7.

Find the distance between the points C(-3, 2) and D(1, -4).

a)

5

b)

6

c)

7

d)

8

8.

Find the perimeter of the polygon with the given vertices.

a)

10 units

b)

15 units

c)

20 units

d)

25 units

9.

Find the perimeter of the polygon with the given vertices.

a)

10 units

b)

15 units

c)

20 units

d)

25 units

10.

Find the angle measure. Then classify the angle. a. m∠AOB

a)

Acute angle

b)

Right angle

c)

Obtuse angle

d)

Straight angle

11.

Find the angle measure. Then classify the angle. b. m∠COD

a)

Acute angle

b)

Right angle

c)

Obtuse angle

d)

Straight angle

12.

Find the angle measure. Then classify the angle. c. m∠BOD

a)

Acute angle

b)

Right angle

c)

Obtuse angle

d)

Straight angle

13.

Find the angle measure. Then classify the angle. d. m∠AOD

a)

Acute angle

b)

Right angle

c)

Obtuse angle

d)

Straight angle

14.

Ray BD bisects ∠ABC. Find:

a)

m∠ABD = 3x + 29°

b)

m∠CBD = 3x + 29°

c)

m∠ABC = 6x + 14°

d)

m∠CBD = 4x + 10°

e)

m∠ABD = 2x + 15°

15.

Given that m∠LKN = 145°, find:

a)

m∠LKM = 2x + 10°

b)

m∠LMN = 4x - 3°

c)

m∠LKM = 3x + 5°

d)

m∠LMN = 5x - 2°

e)

m∠LKM = x + 20°

16.

Name a pair of adjacent complementary angles.

a)

30° and 60°

b)

45° and 45°

c)

90° and 90°

d)

60° and 30°

17.

Name a pair of nonadjacent supplementary angles.

a)

Angles A and B

b)

Angles C and D

c)

Angles E and F

d)

Angles G and H

18.

∠3 is a supplement of ∠4, and m∠4 = 75°. Find m∠3.

a)

m∠3 = 105°

b)

m∠3 = 75°

c)

m∠3 = 90°

d)

m∠3 = 100°

19.

Are ∠2 and ∠4 vertical angles?

a)

Yes

b)

No

20.

Two angles form a linear pair. The measure of one angle is 24° more than the measure of the other angle. What is the measure of the smaller angle?

a)

78°

b)

66°

c)

72°

d)

84°

21.

The measure of an angle is three times the measurement of its complement. What is the measure of the angle?

a)

45 degrees

b)

60 degrees

c)

67.5 degrees

d)

75 degrees

22.

Find the measure of each angle.

a)

30 degrees

b)

45 degrees

c)

60 degrees

d)

90 degrees

23.

Find the measure of each angle.

a)

30 degrees

b)

45 degrees

c)

60 degrees

d)

90 degrees

24.

Tell whether the statement is always, sometimes, or never true. The sum of the measures of a pair of vertical angles is 180°.

a)

Always true

b)

Sometimes true

c)

Never true

25.

The diagram shows the vertices of a garden. Each unit in the coordinate plane represents 10 feet. Find the value of a so that the perimeter of the garden is 300 feet.

a)

10

b)

15

c)

20

d)

25

26.

Use the diagram to find the perimeter and the area of the polygon.

a)

Perimeter: 20 units, Area: 30 square units

b)

Perimeter: 25 units, Area: 35 square units

c)

Perimeter: 30 units, Area: 40 square units

d)

Perimeter: 35 units, Area: 45 square units

27.

What is the area of triangle ΔCDE?

a)

10 square units

b)

15 square units

c)

20 square units

d)

25 square units

28.

What is the area of triangle ΔABF?

a)

10 square units

b)

15 square units

c)

20 square units

d)

25 square units

29.

Find the area and perimeter of rectangle BCEF.

a)

Area: 20 sq units, Perimeter: 18 units

b)

Area: 24 sq units, Perimeter: 20 units

c)

Area: 30 sq units, Perimeter: 22 units

d)

Area: 36 sq units, Perimeter: 24 units

30.

What is the area of quadrilateral ABCD?

a)

50 square units

b)

60 square units

c)

70 square units

d)

80 square units

31.

Translate the blue shape to the pink shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

32.

Translate shape B to shape A...

a)

5 Right

3 Up

b)

5 Left

3 Down

c)

3 Right

3 Up

d)

3 Left

3 Down

33.
Determine where T' would be if you translated T 3 units to the right and 6 units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
34.
The result of a transformation.
a)
Pre-image
b)
Image
35.

Translate the blue shape to the pink shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

36.

Translate shape B to shape A...

a)

5 Right

3 Up

b)

5 Left

3 Down

c)

3 Right

3 Up

d)

3 Left

3 Down

37.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
38.
The result of a transformation.
a)
Pre-image
b)
Image
39.
Determine where T' would be if you translated T 3 units to the right and 6 units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
40.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
41.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
42.

When translating left or right on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

43.

When translating up or down on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

44.
What does this transformation say to do?
(x, y) -----> (x, y +4) 
a)
slide down 4
b)
slide up 4
c)
slide right 4
d)
slide left 4
45.
Point M (-3, 5) is translated using this rule. 
(x, y) ----> (x - 1, y) 
What are the coordinates of M'?
a)
(-4, 5)
b)
(-2, 5)
c)
(-4, 4)
d)
None of these
46.

Select the picture showing a translation of:

4 squares right and 1 square up

a)
b)
c)
d)
47.
What transformation is happening to the red triangle to get to the blue triangle?
a)
Translation
b)
Rotation
c)
Reflection
48.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
49.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
50.
 Describe the Transformation.
a)
Translation
b)
Rotation
c)
Reflection
51.

Which rule describes rotating 180° clockwise?

a)

( x, y ) → ( y, -x )

b)

( x, y ) → ( -x, -y )

c)

( x, y) → ( x, y )

d)

( x, y ) → ( -y, x )

52.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(3, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(5, 3)

53.
The image shows what type of transformation?
a)
Rotation
b)
Translation
c)
Reflection
54.

Which answer shows a reflection across the x-axis?

a)

a

b)

b

c)

c

d)

d

55.

If the triangle is reflected across the y-axis, the coordinates of the new triangle will be (5, 0), (2, 3), and ___.

a)

(0, 5)

b)

(4, 3)

c)

(3, 5)

d)

(2, 3)

56.

Which kind of transformation maps

ΔPQR to ΔP′Q′R′\Delta PQR\ to\ \Delta P'Q'R'  ?

a)

Translation

b)

Rotation

c)

Reflections 

d)

Dilation 

57.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
58.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
59.

The distance around a shape is its _____________.

a)

area

b)

perimeter

60.
Find the PERIMETER of this figure.
a)
20 square feet
b)
20 cm
c)
25 square feet
d)
20 cm sq.
61.
If I wanted to place a fence around my backyard to keep my dog from running away, I would be looking at?
a)
Perimeter
b)
Area
62.

What is the perimeter?

a)

12 cm

b)

24 cm

c)

35 sq cm

d)

75 cm

63.
What is the perimeter?
(click to show image)
a)
20 metres
b)
40 metres
c)
60 metres
d)
200 metres
64.

What is the perimeter of the trapezoid?

a)

21 in

b)

210 in

c)

17 in

65.
What is the perimeter of this shape?
a)
30cm
b)
32cm
c)
60cm
d)
20cm
66.

The __________ is the space occupied by a shape.

a)

area

b)

perimeter

67.
What is the area of the rectangle?
a)
21 in2
b)
22 in2
c)
20 in2
d)
23 in2
68.

Find the area of the triangle.

a)

10 cm2

b)

24 cm2

c)

12 cm2

69.

Find the area of the triangle.

a)

96 in2

b)

48 in2

c)

20 in2

70.

Find the Area of the Trapezoid.

a)

72 in2

b)

18 in2

c)

36 in2

71.

What is the area of this trapezoid?

a)

48 m2

b)

68 m2

c)

88 m2

d)

136 m2

72.
Find the area.
a)
28 square cm
b)
36 square cm
c)
40 square cm
d)
36 square feet
73.

What is the area of the shaded region?

a)

20 sq cm

b)

4 sq cm

c)

30 sq cm

d)

24 sq cm

74.
An example of 2 non-collinear points.
a)
D, E
b)
C, B
c)
M, E
d)
F, B
75.

A line is named by...

a)

Any 2 points on the line, or a lowercase script letter.

b)

Any 3 points on the line.

c)

Any 1 point on the line.

d)

Any 3 points on the line, or a uppercase script letter.

76.
A line that contains point M.
a)
Line q
b)
Line p
c)
Line r
d)
Line NH
77.
Give another name for plane Q.
a)
Plane FEGI
b)
Plane FEG
c)
Plane m
d)
Plane FGI
78.
How would you describe points I, L, C?
a)
collinear
b)
non-coplanar
c)
symmetric
d)
coplanar
79.
Name the Image. 
a)
Ray
b)
Point
c)
Line
d)
Line segment
80.
What are the arrows pointing to?
a)
Ray
b)
Endpoints
c)
Midpoint
d)
Vertex
81.
What is this Symbol called?
a)
Congruent
b)
Equal
c)
Parallel Lines
d)
Angle
82.

What is the distance between (4, 7) and (2,2)?

a)

10\sqrt{10}

b)

29\sqrt{29}

c)

8

d)

9

83.

What is the distance between the following points?

a)

5

b)

7

c)

12\sqrt{12}

d)

28\sqrt{28}

84.

What is the distance between (-5, -5) and (-9, -2)?

a)

29\sqrt{29}  

b)

12\sqrt{12}  

c)

7

d)

5

85.

What is the midpoint between (-6,8) and (6,-7)?

a)

(0,1/2)

b)

(1,1/2)

c)

(0,0.5)

d)

(2,6)

86.
A plane is named by...
a)
Any 1 point on the plane.
b)
Any 3 collinear points on the plane or a lowercase script letter.
c)
Any 3 non-collinear points on the plane or an uppercase script letter.
d)
All points on the plane that aren't part of a line.
87.

A line is named by...

a)

Any 2 points on the line, or a lowercase script letter.

b)

Any 3 points on the line.

c)

Any 1 point on the line.

d)

Any 3 points on the line, or a uppercase script letter.

88.
An example of 2 non-collinear points.
a)
D, E
b)
C, B
c)
M, E
d)
F, B
89.
Two lines intersect at a ....
a)
angle
b)
point
c)
line
d)
intersection
90.
A line that contains point M.
a)
Line q
b)
Line p
c)
Line r
d)
Line NH
91.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
92.
Give another name for plane Q.
a)
Plane FEGI
b)
Plane FEG
c)
Plane m
d)
Plane FGI
93.
Part of a line. Has one endpoint and continues on forever in one direction.
a)
Line Segment
b)
Line
c)
Ray
d)
Point
94.
Name the Image. 
a)
Ray
b)
Point
c)
Line
d)
Line segment
95.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
96.
How would you describe points I, L, C?
a)
collinear
b)
non-coplanar
c)
symmetric
d)
coplanar
97.

Name a line containing Point Z

a)

line m

b)

line l

c)

line n

d)

Plane B

98.

What geometric term could be represented a floor?

a)

point

b)

line

c)

plane

d)

arc

99.

What geometric term could represent a laser beam?

a)

point

b)

a line

c)

a point

d)

an arc

100.
What are the arrows pointing to?
a)
Ray
b)
Endpoints
c)
Midpoint
d)
Vertex
101.
A location in space that is represented by a dot and has no dimensions
a)
Point
b)
Line
c)
Plane
d)
Angle
102.
What is this Symbol called?
a)
Congruent
b)
Equal
c)
Parallel Lines
d)
Angle
103.

Are  ⋅\cdot D  and  ⋅\cdot E  collinear? 

a)

Yes

b)

No

104.
a)
No, the three points are not collinear.
b)
Yes, they lie on line MP.
c)
Yes, they lie on line NP.
d)
Yes, they lie on line MO.
105.
Give another name for line b
a)
a
b)
R
c)
KL
d)
HK
106.

What is the distance between (4, 7) and (2,2)?

a)

10\sqrt{10}

b)

29\sqrt{29}

c)

8

d)

9

107.

What is the distance between the following points?

a)

5

b)

7

c)

12\sqrt{12}

d)

28\sqrt{28}

108.

What is the distance between (-5, -5) and (-9, -2)?

a)

29\sqrt{29}  

b)

12\sqrt{12}  

c)

7

d)

5

109.

What is the distance between the following points?

a)

80\sqrt{80}

b)

9

c)

65\sqrt{65}

d)

7

110.

What is the distance between (-6, 4) and (−8,6)?

a)

2

b)

3

c)

4\sqrt{4}

d)

8\sqrt{8}

111.

What is the midpoint between (-6,8) and (6,-7)?

a)

(0,1/2)

b)

(1,1/2)

c)

(0,0.5)

d)

(2,6)

112.

What is the distance formula?

a)
b)
c)
d)
113.

What is the midpoint formula?

a)
b)
c)
d)
114.

What is the midpoint between (3, -1) and (7, -5)?

(x1+x22,y1+y22)\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)  

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

115.

What is the distance between JK, where J(4,3) and K(2, -3)?

d=(x2−x1)2+(y2−y1)2d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}  

a)

√ ̅3̅2̅

b)

40

c)

32

d)

√ ̅4̅0̅

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