Free Printable Geometry Final Exam

1.

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

a)

1440°

b)

900°

c)

1080°

d)

1260°

2.

What is the measure of one interior angle of a regular 45-gon?

a)

180°

b)

360°

c)

172°

d)

93°

3.

What is the value of x?

a)

135

b)

92

c)

127

d)

122

4.

Find the value of X.

a)

100

b)

120

c)

125

d)

130

5.

The figure is a parallelogram.
Solve for x.

a)

1

b)

10

c)

4

d)

5

6.

Find the m∠R.

a)

40°

b)

140°

c)

50°

d)

180°

7.

JKLM is an isosceles trapezoid. Find the length of x.

(a)

8.

JKLM is an isosceles trapezoid. Find the length of JL.

(a)

9.

In kite LMNO, MO = 13, LP = 7,

what is LM?

a)

14.77

b)

2.60

c)

9.55

d)

10.95

10.

Using the Pythagorean theorem, what is the length of $\overline{XY}$ in simplified radical form?

a)

$25\sqrt{5}$

b)

$5\sqrt{5}$

c)

$\sqrt{125}$

d)

$5\sqrt{25}$

11.

a)

x = 30, y = 40

b)

x = 40, y = 30

c)

x = 40, y = 15

d)

x = 30, y = 30

12.

In order for ABCD to be a parallelogram, what must the value of x be?

a)

132

b)

66

c)

114

d)

48

13.

State the most specific name for the quadrilateral.

a)

Quadrilateral

b)

Parallelogram

c)

Rhombus

d)

Rectangle

e)

Square

14.

State the most specific name for the quadrilateral.

a)

Quadrilateral

b)

Parallelogram

c)

Rhombus

d)

Rectangle

e)

Square

15.

Find the length of LM.

a)

4

b)

5

c)

3

d)

6

16.

How do you know if two shapes are similar?

a)

If they are different shapes and have different sizes.

b)

If they have the same shape and size.

c)

If corresponding angles are equal and corresponding sides are proportional.

d)

If they are different shapes, but the same size.

17.

Which would be the correct notation for the composition of transformations from blue to red to green?

a)

T<-4,0>^o R_{y axis}

b)

T<0,-4>^o R_{y axis}

c)

R_{y axis}o T<0,-4>

d)

R_{x axis}o R_{y axis}

18.

Which 2 rigid motion composition maps $\Delta JKL\ to\ \Delta J'K'L'$

a)

$R_{x-axis}\ \circ\ R_{y-axis}$

b)

$r_{\left(90\degree,\ O\right)}$

c)

$T_{\left(-6,\ 0\right)}\ \circ\ R_{\left(y=1\right)}$

d)

$R_{x-axis}\ \circ\ T_{\left(6,0\right)}$

19.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

20.

What is the scale factor from the small shape to the big shape?

a)

1/2

b)

7/3

c)

2

d)

10/3

21.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

22.

Solve for x.

a)

8

b)

6

c)

5

d)

-8

23.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

24.

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

25.

Given F is (3, 4) and the rule T< -2, 1 > o D3 (F), find the coordinates of F'

(a)

26.

Given F is (3, 4) and the rule T< 5, -3 > o D4 (F), find the coordinates of F'

(a)

27.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SAS

b)

AA

c)

SSS

d)

not similar

28.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

NOT SIMILAR

29.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

AA

b)

SSS

c)

SAS

d)

no similar

30.

Are the triangles similar?

a)

Yes

b)

No

31.

What is the value of b?

a)

28

b)

18

c)

82

d)

41

32.

If JKL ~ WYZ what is the value of x?

a)

21

b)

14.25

c)

18

d)

48.25

33.

Find the value of x.

a)

5.29

b)

9.9

c)

28

d)

14

34.

Find the length HK of of right triangle GHK.

a)

300

b)

0

c)

150

d)

17.3

35.

a)

10

b)

12

c)

14

d)

16

36.

Given the diagram at the right, as labeled, find CD.

a)

2

b)

4

c)

$2\sqrt{5}$

d)

$4\sqrt{5}$

37.

Find the missing side lengths.

a)

a = 4, b = 4

b)

a = 4, b = 2√2

c)

a = 2√2, b = 4

d)

a = 4, b = 4

38.

Use the 45-45-90 theorem to solve for the hypotenuse.

a)

16

b)

8

c)

8√2

d)

√16

39.

Find a.

a)

9

b)

$9\sqrt{3}$

c)

$\frac{9}{2}$

d)

$6\sqrt{3}$

40.

Find n.

a)

6

b)

$\frac{6}{\sqrt{3}}$

c)

3

d)

$\frac{6}{\sqrt{2}}$

41.

Find v.

a)

$4\sqrt{3}$

b)

4

c)

8

d)

$4\sqrt{2}$

42.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

43.

a)

20 cm

b)

400 cm

c)

10 cm

d)

29.2 cm

44.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

45.

Use Trig to find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

46.

Use trig ratios (SOH CAH TOA) to solve for x

a)

50.7

b)

50.1

c)

60.7

d)

61.0

47.

Use trig to solve for the missing angle.

a)

32°

b)

44°

c)

61°

d)

50°

48.

Use Trig to find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

49.

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

a)

Yes

b)

No

50.

Which set of side lengths does not form a right triangle?

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

51.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

52.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

53.

The angle of elevation from a kicker's foot on the football field to the top of the goal post bars is $17\degree$ . If he is standing 131 feet from the base of the goal post, how tall is the goal post? Round your answer to the nearest tenth (one decimal).

a)

428.5 feet

b)

40.1 feet

c)

38.3 feet

d)

125.3 feet

54.

The angle of elevation from point A to the top of a cliff is $34\degree$ . If point A is 1000 feet from the base of the cliff, how high is the cliff? Round your answer to the nearest tenth (one decimal place). Do not label your answer.

(a)

55.

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)

56.

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(-2,41)

b)

(-2,4)

c)

(2,-4)

d)

(2,41)

57.

The radius of a circle has length 6. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

58.

What is the equation of a circle with radius 2 and center (3, 4)?

a)

(x+3)² + (y+4)² = 2

b)

(x-3)² + (y-4)² = 2

c)

(x+3)² + (y+4)² = 4

d)

(x-3)² + (y-4)² = 4

59.

Find the area of the circle. A = πr²

a)

18.84 m²

b)

113.04 m²

c)

37.68 m²

d)

452.16 m²

60.

Find the area of the circle. A = πr²

a)

12.56 cm²

b)

25.12 cm²

c)

50.24 cm²

d)

200.96 cm²

61.

The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire? (Use 3.14 for pi and round to the nearest tenth)

C = πd

a)

d=113.05 in

b)

d=226.1 in

c)

d=11.5 in

d)

d=22.9 in

62.

Sally has car tire with a circumference of 75.36 ft. What is the radius of the car tire and what is the diameter? (Use 3.14 for pi)

C = πd

a)

r=12 ft

b)

d=26 ft

c)

r=13 ft

d)

d=24 ft

63.

FIND THE ARC LENGTH OF THE BOLDED ARC.

s = 2πr ⋅ x/360

a)

A

b)

B

c)

C

d)

D

64.

FIND THE ARC LENGTH OF THE BOLDED ARC.

s = 2πr ⋅ x/360

a)

A

b)

B

c)

C

d)

D

65.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

66.

What is the measure of arc AXB

(¿Cuál es la medida del arco AXB?)

a)

50

b)

100

c)

180

d)

260

67.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

68.

a)

a

b)

b

c)

c

d)

d

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

Find the measure of arc JLM.

a)

180 degrees

b)

1755 degrees

c)

220 degrees

d)

245 degrees

72.

Find the measure of arc ABD

a)

$135\degree$

b)

$245\degree$

c)

$115\degree$

d)

$175\degree$

73.

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

a)

26

b)

57

c)

66

d)

114

74.

Using lines tangent to the circle, find the value of x.

a)

57

b)

137

c)

47

d)

257

75.

Solve for x.

a)

7.94

b)

8

c)

10.58

d)

112

76.

Solve for a.

a)

4

b)

6.93

c)

8

d)

16

77.

Solve for d.

a)

8

b)

9

c)

10

d)

12

78.

a)

14

b)

12

c)

19

d)

17

79.

Diagram shows a tangent to a circle.

a)

True

b)

False

80.

Diagram shows a tangent to a circle.

a)

True

b)

False

81.

What best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

82.

MN is an example of a . . .

a)

Diameter

b)

Chord

c)

Tangent Line

d)

Sector

83.

Find the Volume of the Sphere

a)

904.32 ft³

b)

7,234.56 ft³

c)

150.72 ft³

84.

Find the volume of this sphere.

a)

113 m³

b)

10.6 m³

c)

9.4 m³

d)

14.1 m³

85.

What is surface area?

a)

1339.73

b)

703.36

c)

320.78

d)

742.42

86.

Find the surface area

a)

252.58 yd²

b)

163.2 yd²

c)

365.68 yd²

d)

157.2 yd²

Geometry Final Exam

Total questions: 86

Worksheet time: 7hrs 54mins

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