Free Printable Geometry - Q4: FINAL EXAM

1.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

2.

Level 3

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

3.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

4.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

5.

State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 14 mi, 17 mi

a)

acute

b)

obtuse

c)

right

6.

Find x.

a)

30°

b)

45°

c)

60°

d)

90°

7.

I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?

a)

Multiply 4 by 2

b)

Multiply 4 by √3

c)

Multiply 4 by √2

d)

Divide 4 by √3

8.

Find the value of y.

a)

9

b)

18√2

c)

9√2

d)

(9√2)/2

9.

Simplify √30 ⋅ √20

a)

√600

b)

5√2

c)

10√6

d)

2√150

10.

a)

A

b)

B

c)

C

d)

D

11.

Simplify:

a)

√5

b)

(√14)/2

c)

√7

d)

Cannot be simplified

12.

What is the geometric mean of 2 and 8?

a)

256

b)

5

c)

4

d)

16

13.

Find x.

a)

60

b)

48

c)

80

d)

100

14.

Find x.

a)

15

b)

16

c)

36

d)

25

15.

Find x.

a)

16

b)

25

c)

100

d)

20

16.

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

17.

Solve for b.

a)

8

b)

4/3

c)

17/12

d)

1/8

18.

What is the correct ratio?

a)

7/24

b)

24/7

c)

7/25

d)

24/25

19.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

20.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

21.

Which angle has 4/5 as its cosine ratio?

a)

A

b)

B

c)

C

22.

Solve for the missing distance. This is a right triangle.

a)

18.9

b)

19.5

c)

47

d)

27.5

23.

m∠A = ?

a)

36.9 degrees

b)

38.7 degrees

c)

53.1 degrees

d)

30.1 degrees

24.

Find BC

a)

A

b)

B

c)

C

d)

D

25.

1

a)

A

b)

B

c)

C

d)

D

26.

Which Law would you use?

a)

Law of Sines

b)

Law of Cosines

c)

Law of the Jungle

d)

Law of Gravity

27.

Find angle Z

a)

20.15°

b)

71.23°

c)

51.06°

d)

57.71°

28.

Use Law of Cosines to find angle T

a)

62.2°

b)

53.1°

c)

59.5°

d)

64.7°

29.

If three sides of a triangle are given, the Law of ____ is used to solve the triangle.

a)

Cosines

b)

Sines

c)

Tangent

d)

Cosecents

30.

Find the Area of a triangle with two sides that measure 6 m and 8 m with an included angle of 137°.

a)

17.8m²

b)

14.6m²

c)

16.4m²

d)

12.9m²

31.

Find m<A

a)

A

b)

B

c)

C

d)

D

32.

AC is best described as a....

a)

chord

b)

diameter

c)

secant

d)

radius

33.

AD can best be described as

a)

secant

b)

tangent

c)

radius

d)

diameter

34.

KG is best described as a

a)

tangent

b)

secant

c)

diameter

d)

chord

35.

F is a

a)

tangent

b)

point of tangency

c)

circle

d)

point of a secant

36.

Tell whether AB tangent to C

a)

yes

b)

no

37.

Point B is a point of tangency, Find the radius r of circle C.

a)

20

b)

10

c)

12

d)

8

38.

Points B and D are points of tangency. Find the values of x.

a)

3

b)

4

c)

5

d)

6

39.

a)

A

b)

B

c)

C

d)

D

40.

Find the arc measure for arc RQT, (RU is a diameter).

a)

335

b)

126

c)

224

d)

94

41.

What is the measure of ∠PTQ?

a)

100

b)

140

c)

180

d)

120

42.

What is the measure of arc WYZ?

a)

231

b)

255

c)

168

d)

200

43.

Find the arc measure for arc VW

a)

45˚

b)

25˚

c)

17˚

d)

55˚

44.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

45.

Name a radius.

a)

AF

b)

CD

c)

HJ

d)

DG

46.

The distance across a circle through the center is called the_______________.

a)

radius

b)

circumference

c)

diameter

d)

area

47.

What is an angle whose vertex is at the center of a circle and whose sides pass through a pair of points on the circle?

a)

Arc

b)

Central Angle

c)

Inscribed Angle

d)

Intercepted Arc

48.

Find x

a)

10

b)

5

c)

18

d)

9

49.

Use chords to solve for x

a)

x = 3 cm

b)

x = 4 cm

c)

x = 5 cm

d)

x = 6 cm

50.

Use chords to solve fox

a)

x = 35^o

b)

x = 50^o

c)

x = 70^o

d)

x = 140^o

51.

What is the value of y?

a)

6

b)

1

c)

5

d)

3

52.

What is the value of x?

a)

7

b)

3

c)

9

d)

4

53.

What is the length of BD?

a)

4

b)

8

c)

5

d)

6

54.

In the diagram, the diameter of the circle is perpendicular to the chord. Solve for the value of "x"

a)

26

b)

24

c)

30

d)

20

55.

What is the measure of angle A?

a)

34°

b)

180°

c)

112°

d)

79°

56.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

57.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

58.

a)

A

b)

B

c)

C

d)

D

59.

Find the value of x

a)

100

b)

105

c)

95

d)

90

60.

Find the value of d.

a)

115

b)

65

c)

96

d)

180

61.

Angle R is right because

a)

the triangles is circumscribed and SQ is a radius

b)

the triangles is inscribed and SQ is a radius

c)

the triangles is inscribed and SQ is a diameter

d)

triangle QRS is inscribed

62.

In ABCQ, opposite angles are

a)

congruent

b)

supplementary

c)

complementary

d)

add to 360^o

63.

Solve for x.

a)

14

b)

10

c)

11

d)

2

64.

Given the following inscribed quadrilateral, what is the value of y?

a)

10

b)

20

c)

30

d)

40

65.

Find x

a)

10

b)

5

c)

18

d)

9

66.

DE = 5x+6 and FG = 11x-72. Solve for x

a)

12

b)

7

c)

11

d)

13

67.

Determine the measure of Arc PG. Hint: Find Arc PE first.

a)

A

b)

B

c)

C

d)

D

68.

An angle in a circle with its vertex ON the circle itself

a)

Angle

b)

Central angle

c)

Inscribed angle

d)

Chord

69.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

70.

Find the measure of arc QR

a)

51

b)

39

c)

102

d)

78

71.

Angle Inside Circle

a)

A

b)

B

c)

C

d)

D

72.

angle NQR

a)

Inscribed Angle

b)

Point of Tangency

c)

Central Angle

d)

Semicircle

73.

What is the measure of arc AB?

a)

140

b)

142

c)

86

d)

152

74.

What is the measure of angle 2?

a)

80

b)

45

c)

85

d)

40

75.

Find the measure of angle MNQ.

a)

134

b)

67

c)

158

d)

22

76.

Find x.

a)

29⁰

b)

33⁰

c)

41.5⁰

d)

50⁰

77.

Determine the value of x using the information in the diagram.

a)

72º

b)

45º

c)

99^o

d)

27º

78.

What is m<JLN?

a)

74

b)

37

c)

70

d)

132

79.

What is the definition of a chord?

a)

A line segment whose endpoints are on a circle.

b)

A line that passes through the center of the circle.

c)

A line segment that intersects at a point on the circle.

d)

A line that intersects a circle in two points.

80.

Solve for x.

a)

15

b)

23

c)

18

d)

22

81.

Solve for d.

a)

8

b)

9

c)

10

d)

12

82.

Find the measure of BM.

a)

10

b)

14

c)

17

d)

18

83.

Solve for x.

a)

3

b)

11

c)

6

d)

2

84.

Solve for x.

a)

11

b)

17

c)

18

d)

12

85.

Solve for x.

a)

6

b)

8

c)

10

d)

12

86.

Find the measure of GF.

a)

3

b)

6

c)

4

d)

5

87.

Solve for x. Assume that lines which appear tangent are tangent.

a)

3

b)

4

c)

5

d)

6

88.

Find the measure of MN. Assume that lines which appear to be tangent are tangent.

a)

43

b)

42

c)

23

d)

32

89.

Solve for x.

a)

5

b)

8.66

c)

10

d)

20

90.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

91.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

92.

See Picture

a)

A

b)

B

c)

C

93.

See Picture

a)

A

b)

B

c)

C

d)

D

94.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

95.

What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?

a)

4

b)

8

c)

4√2

d)

2√2

96.

The diameter of a circle has length 12. 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

97.

Which equation matches the circle on the graph?

a)

x²+y²=16

b)

x²+y²=32

c)

2x²+5y²=256

d)

24x²+999y²=16

98.

A circle has the equation x² + y² - 12x + 8y + 3 = 0. Use completing the square to write the equation in standard form.

a)

(x - 6)² + (y + 4)² = 49

b)

(x + 4)² + (y - 6)² = 49

c)

(x - 6)² + (y + 4)² = 55

d)

x² + y² = 55

99.

Prove or disprove that the point (5,4) is on the circle centered at (-1,-2) with a radius of 5.

a)

Yes, it is on the circle

b)

No, it is inside the circle

c)

No, it is outside the circle

d)

No, it is on the circle

100.

What is the center and radius given the equation, 8x+x²-2y+y²-64=0?

a)

Center: (-4, 1), Radius: 9

b)

Center: (4,1), Radius: 9

c)

Center: (1,-4), Radius: 81

d)

Center: (-4, 1), Radius: 81

Geometry - Q4: FINAL EXAM

Total questions: 100

Worksheet time: 6hrs 38mins

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