Free Printable Geometry Exam Review

1.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

2.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

3.

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

a)

any length

b)

equal to 10

c)

greater than 10

d)

less than 10

4.

Does a triangle with these side lengths exist?
5, 10, 15

a)

Yes

b)

No

c)

I don't know.

5.

Does a triangle with these side lengths exist?
18, 22, 5

a)

Yes

b)

No

c)

I don't know.

6.

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

a)

greater than

b)

less than

c)

equal to

7.

What is the biggest side?

a)

EF

b)

FG

c)

EG

8.

What is the smallest side?

a)

LM

b)

MN

c)

LN

9.

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

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

10.

Use the distance formula to find the measure of the sides of triangle ABC with vertices at A(-3,2), B(2,1), C(-2,-3)

a)

AB=5.1

BC=5.7

CA=5.1

b)

AB=7.3

BC=5.1

CA=7.2

c)

AB=4.8

BC=5.7

CA=53

d)

AB=5.4

BC=4.8

CA=5.1

11.

Use the figure to find m∠P

a)

132

b)

46

c)

48

d)

42

12.

Use the figure to solve for x

a)

13

b)

12

c)

15

d)

14

13.

Describe the methods that could be used to prove these triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

14.

Describe the methods that could be used to prove these triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

15.

With this given information, what other steps would be in the congruence proof?

a)

PR≣PR - Reflexive Property

ΔPQR ≣ ΔPSR - SSS

b)

PR≣PR - Reflexive Property

ΔPQR ≣ ΔPSR - SAS

c)

∠Q ≣ ∠S - Corresponding Angles

ΔPQR ≣ ΔPSR - SAS

d)

∠QPR ≣ ∠SRP - Alternate Interior Angles

ΔPQR ≣ ΔPSR

16.

If C is the midpoint of BF, what steps would be after the given in a proof of triangle congruence?

a)

BC ≣FC - Definition of Midpoint

ΔABC ≣ ΔGFC - SAS Congruence

b)

AC ≣GC - Definition of Midpoint

ΔABC ≣ ΔGFC - SAS Congruence

c)

BC ≣FC - Definition of Midpoint

ΔABC ≣ ΔGFC - ASA Congruence

d)

∠BCA ≣ ∠FCG - Vertical Angle Th.

ΔABC ≣ ΔGFC - AAS Congruence

17.

With this given information, what other steps would be in the congruence proof?

a)

∠ACB ≅ ∠DCF - Vertical Angle Th.

ΔABC ≣ ΔDFC - ASA Congruence

b)

AC ≣DC - Reflexive Property

ΔABC ≣ ΔGFC - SAS Congruence

c)

∠ACB ≅ ∠DCF - Vertical Angle Th.

ΔABC ≣ ΔDFC - AAS Congruence

d)

∠ACB ≅ ∠DCF - Vertical Angle Th.

ΔABC ≣ ΔDFC - CPCTC

18.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

AAA

b)

AAS

c)

ASA

d)

Not necessarily congruent

19.

What are the five ways to prove triangles congruent?

a)

SSS, ASA, AAS, SAS, HL

b)

SSS, SSA, HL, AAS, SAS

c)

SAS, SSA, HL, AAS, SSS

d)

HL, SAS, SSA, SSS, ASA

20.

Solve for x.

a)

30

b)

34

c)

36

d)

26

21.

Solve for x.

a)

70

b)

64

c)

62

d)

60

22.

Find the measure of angle B.

a)

36

b)

24

c)

12

d)

132

23.

What is the SUM of the angle measures in a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

24.

What is the measure of ONE interior angle in a regular pentagon (5-sides)?

a)

90°

b)

108°

c)

120°

d)

180°

25.

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

a)

60°

b)

80°

c)

108°

d)

120°

26.

Find the angle sum of the interior angles of the polygon.

a)

180°

b)

540°

c)

720°

d)

1080°

27.

Find the value of X

a)

94

b)

25

c)

36

d)

180

28.

Find the arc length of the bolded arc in the picture.

a)

A

b)

B

c)

C

d)

D

29.

Find the area of the shaded sector.

a)

9.23 in²

b)

10.51 in²

c)

31.42 in²

d)

38.27 in²

30.

Determine the meaure of Arc MN.

a)

A

b)

B

c)

C

d)

D

31.

Which of the following properties is true about rectangles?

a)

Four congruent sides.

b)

Four right angles.

c)

Diagonals bisect opposite angles.

32.

Which of the following properties is true about rhombuses?

a)

Diagonals bisect opposite angles.

b)

Diagonals are congruent.

c)

Four right angles.

33.

Which of the following properties is true about squares?

a)

2(midsegment) = Base 1 + Base 2

b)

Diagonals bisect opposite sides.

c)

Diagonals bisect opposite angles.

34.

Which of the following properties is true about rhombuses?

a)

Exactly one diagonal bisects a pair of opposite angles.

b)

Diagonals bisect opposite sides.

c)

Opposite angles are congruent.

35.

The diagonals of a rectangle are

a)

parallel

b)

congruent

c)

perpendicular

d)

not congruent

36.

What does a translation do to an image?

a)

Turns it 90* clockwise

b)

Mirrors it

c)

Shrinks it

d)

Slides it

37.

What is the correct ratio for the tangent of angle A?

a)

$\frac{4}{3}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{3}{5}$

38.

What is the rule for a translation that moves 3 units up and 2 units right?

a)

(x, y) ---> (x - 2, y + 3)

b)

(x, y) ---> (x + 3, y - 2)

c)

(x, y) ---> (x + 2, y + 3)

d)

(x, y) ---> (x + 2, y - 3)

39.

Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?

a)

12 < x < 17

b)

12 < x < 29

c)

5 < x < 17

d)

5 < x < 29

40.

Find the missing angle.

a)

$45\degree$

b)

$33\degree$

c)

$27\degree$

d)

$31\degree$

41.

Find the value of y.

a)

$130\degree$

b)

$50\degree$

c)

$\left(130-x\right)\degree$

d)

180 $\degree$

42.

Find the value of x.

a)

$5$

b)

$10$

c)

$5\sqrt{2}$

d)

$10\sqrt{2}$

43.

Find the value of x.

a)

13

b)

8.6

c)

5

d)

130

44.

Find the length of the missing side.

a)

3

b)

8

c)

18

d)

12

45.

Find $m\angle UTW$ .

a)

$75\degree$

b)

$180\degree$

c)

$130\degree$

d)

$125\degree$

46.

What is the approximate length of the missing side of a right triangle with hypotenuse of 16 cm and other side of 15 cm?

a)

5.6 cm

b)

31 cm

c)

481 cm

d)

21.9 cm

47.

Given parallel lines cut by a transversal, corresponding angles are

a)

Equal

b)

Supplementary

c)

Complementary

d)

Perpendicular

48.

Opposite sides of equal angles in an isosceles triangle are

a)

Equal

b)

Complementary

c)

Supplementary

d)

None of these

49.

The value of x is

a)

65^o

b)

48^o

c)

13^o

d)

142^o

50.

The area of the trapezoid shown to the right is found by

a)

$\frac{1}{2}\left(12+6\right)\left(8\right)$

b)

$\left(16\right)\left(7\right)$

c)

$\frac{1}{2}\left(12+6\right)\left(7\right)$

d)

$\frac{1}{2}\left(\frac{12+6}{2}\right)\left(7\right)$

51.

Write the perimeter of the square.

a)

$P=12x-8$

b)

$P\ =\ 9x^2+\ 4$

c)

$P\ =6x-4$

d)

$P\ =9x^2-12x+4$

52.

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

53.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

54.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

55.

What is this picture an example of?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

56.

Flipping a figures is a ...

a)

Rotation

b)

Reflection

c)

Dilation

d)

Translation

57.

How do these triangles appear to be similar?

a)

AA

b)

SAS

c)

SSS

d)

Not Similar

58.

Find the value of x.

a)

x = 4.5

b)

x = 9

c)

x = 30

d)

x = 3

59.

What best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

60.

An angle in a circle with vertex on the center of the circle

a)

Central angle

b)

Angle

c)

Inscribed angle

d)

Circle

61.

Which segment is not a radius?

a)

CA

b)

CB

c)

CD

d)

LM

62.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

63.

Find the distance between (-12, 1) and (12, -1).

a)

24.05

b)

24.06

c)

24.07

d)

24.08

64.

What is the measure of the missing angle?

a)

103

b)

100

c)

93

d)

83

65.

Which picture below shows corresponding angles?

a)

b)

c)

d)

66.

Which picture below shows alternate interior angles?

a)

b)

c)

d)

67.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

68.

Congruent figures are figures that have exactly the same size and shape.

a)

true

b)

false

69.

Are the two triangles congruent?

a)

Not enough information

b)

Yes, by SSA

c)

Yes by AAS

d)

Yes By ASA

70.

If two triangles are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

71.

If two triangles are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

72.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

73.

Solve for x. Round to the nearest tenth.

a)

7.5

b)

34.1

c)

14.1

74.

Find the measure of the indicated angle.

a)

9.39

b)

55.2

c)

20.2

d)

19.4

75.

Solve for c. Write your answer as a whole number.

(a)

76.

What is the length of x in this 45-45-90 triangle?

a)

4√2

b)

4

c)

8

d)

4√3

77.

What is the value of x?

a)

2

b)

18

c)

2√9

d)

9√2

78.

What is the length of u and v in this 30-60-90 triangle?

a)

u = 8 v = 4√3

b)

u = 4√2 v = 8

c)

u = 16 v = 8

d)

u = 4√3 v = 8

79.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4°

b)

55.2°

c)

20.2°

d)

19.4°

80.

What is the image of J (8, -6) after a rotation of 180° counterclockwise?

a)

J' (8, 6)

b)

J' (-6, 8)

c)

J' (-8, 6)

d)

J ' (-8, -6)

81.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

82.

What are x and y in the square?

a)

x=45 and y=90

b)

x=90 and y=45

c)

x=90 and y=90

d)

x=30 and y=60

83.

Solve for x in the rectangle.

a)

x=2

b)

x=7

c)

x=8

d)

x=3

84.

What is angle 2 in the rhombus?

a)

60

b)

120

c)

30

d)

90

85.

What is the measure of angle 2 in the rhombus?

a)

35

b)

55

c)

45

d)

90

86.

Solve for x in the rectangle.

a)

25

b)

20

c)

30

d)

25/3

87.

If LN = 32, what is MN?

a)

11

b)

20

c)

12

d)

10

88.

What is the justification (reason)?

a)

reflexive property

b)

definition of segment bisect

c)

definition of a midpoint

d)

substitution property

89.

What is the "reason" for step 5 of the proof?

a)

Vertical Angle Theorem

b)

proof

c)

def. of angle bisector

d)

CPCTC

90.

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.

91.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

92.

The circumference of a circle is

a)

The measurement from an edge of a circle to another edge.

b)

The measurement around the circle

c)

The measurement from an edge of a circle to another edge going through the center

d)

The measurement from the center of the circle to an edge of the circle

93.

The diagram below shows the radius of the circular opening of a bowl. What is the approximate circumference of the opening in centimeters?

a)

29.83

b)

9.5

c)

59.66

94.

Mrs. Wilson placed the welcome mat shown below on her front door step. What is the area of her welcome mat in square feet?

a)

A = 30.15

b)

A = 25.12

c)

A = 56.12

d)

A = 16.5

95.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

96.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

97.

Complete the attributes of a rectangle.
Opposite sides are __________________.

a)

Parallel

b)

Unequal

c)

Equal

d)

Perpendicular

98.

a)

19.8 km²

b)

37.8 km²

c)

18.9 km²

d)

35 km²

99.

a)

A = 19 cm²

b)

A = 39 cm²

c)

A = 78 cm²

d)

A = 120 cm²

100.

a)

∠A=82°

b)

∠A=98°

c)

∠A=180°

d)

∠A=8°

101.

Find the volume.

a)

55 yd³

b)

121 yd³

c)

22 yd³

d)

330 yd³

102.

Find the volume of the figure.

a)

126 cm³

b)

907.5 cm³

c)

605 cm³

d)

55 cm³

103.

Calculate the surface area of the given shape. Round to the nearest tenth.

a)

$90\pi$ in²

b)

$18\pi$ in²

c)

$60\pi$ in²

d)

$78\pi$ in²

104.

Find the surface area of the rectangular prism.

a)

140 in.²

b)

83 in.²

c)

166 in. ²

d)

100 in.²

105.

Two sides of a triangle are 11cm and 14cm. What are all possible values for the length of the third side?

a)

x = 3 or x = 25

b)

3 < x < 25

c)

x < 3 or x > 25

d)

x = 14

106.

What other information is needed to prove the triangles congruent using the SAS Congruence Postulate?

a)

a

b)

b

c)

c

d)

d

107.

The dashed line in the figure represents the point where the shadow ends to the top of the flag. What is the approximate angle of elevation formed by the ground and the dashed line?

a)

37 degrees

b)

39 degrees

c)

51 degrees

d)

53 degrees

108.

Write the equation of the circle.

$Center:\ \left(-3,-7\right)$

$Radius:\sqrt[]{11}$

a)

$\left(x-7\right)^2+\left(y+3\right)^2=111$

b)

$\left(x+1\right)^2+\left(y-6\right)^2=111$

c)

$\left(x+3\right)^2+\left(y+7\right)^2=111$

d)

$\left(x+3\right)^2+\left(y-7\right)^2=111$

109.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

110.

In the equation
(x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

111.

a)

(3, 1)

b)

(3.5, 1)

c)

(4, 1)

d)

(2, 0)

112.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

113.

Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)

a)

(-5.5, -7.5)

b)

(-1.5, -0.5)

c)

(-3, -1)

d)

(0.5, 1.5)

114.

Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

115.

Find the distance between (-12, 1) and (12, -1). Use a calculator to find the square

root and round to the nearest hundredth.

a)

24.05

b)

24.06

c)

24.07

d)

24.08

116.

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

a)

between 8 and 15

b)

between 7 and 23

c)

less than 7, greater than 23

117.

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

a)

between 8 and 16

b)

less than 4, greater than 12

c)

between 4 and 12

118.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

119.

Is this a right triangle

a)

Yes

b)

No

120.

If the given side lengths form a triangle, then classify the triangle as acute, right, or obtuse.

10, 12, 15

a)

Acute

b)

Right

c)

Obtuse

121.

Solve for x. SIMPLIFY your radical answer completely.

a)

4√2

b)

2√4

c)

2√2

d)

16√2

122.

If the given side lengths form a triangle, then classify the triangle as acute, right, or obtuse.

9, 13, 15

a)

Acute

b)

Right

c)

Obtuse

123.

If the given side lengths form a triangle, then classify the triangle as acute, right, or obtuse.

20, 21, 29

a)

Acute

b)

Right

c)

Obtuse

124.

A scale drawing of a swimming pool is used to represent part of a diagram. The drawing uses a scale of 1 in = 3 ft. If the length is 24 ft. and the width is 36 ft.

a)

90 ft.

b)

72 ft.

c)

264 ft.

125.

The area of a rectangle is 25 square cm. What could the length and the width of that rectangle be?

a)

6 ft and 4 ft

b)

5 ft and 5 ft

c)

10 ft and 15 ft

126.

Penny's garden has a fountain in the middle that has a base of 5 in. and the height is 9 in. The garden around it has a base of 16 in. and the height is 5 in. What is the area of the garden?

a)

80in

b)

35in²

c)

45in²

d)

80in²

127.

A plane takes off at an angle of 30 degrees and reaches a height of 10 miles. What is the diagonal distance it has traveled from take off to it's current position?

a)

15 miles

b)

38 miles

c)

17 miles

d)

20 miles

128.

A power line stretches from the top of a building to the ground. The power line is 100 ft. long and the building is 50 ft. tall. What is the horizontal distance from the end of the power line to the building?

a)

220.3 ft.

b)

100 ft.

c)

86.6 ft.

d)

73.8 ft.

129.

A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

44 feet

c)

81 feet

d)

185 feet

130.

If the measure of $\angle ABC=98^{\circ}$ and $\overrightarrow{BD}$ is an angle bisector. What is the measure of $\angle ABD\ and\ \angle DBC$ ?

a)

196

b)

98

c)

49

d)

Can't be determined

131.

The symbol ⊥ is used for which of the following notations?

a)

Parallel Lines

b)

Perpendicular lines

c)

Congruency

d)

Opposite Rays

132.

Which shapes represents the sides of a pyramid?

a)

trapezoid

b)

square

c)

triangle

d)

rectangle

133.

What is the perimeter of this polygon?

a)

36

b)

80

c)

33

d)

43

134.

The space inside of a 3-dimensional figure is called:

a)

surface area

b)

volume

c)

circumference

d)

mass

135.

The special pair of angles shown are:

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

136.

Supplementary Angles add up to _____ degrees.

a)

180

b)

55

c)

100

d)

90

Geometry Exam Review

Total questions: 136

Worksheet time: 11hrs 20mins

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