Free Printable Honors Geometry Final Exam Review

1.

Identify the triangle by its sides and angles.

a)

Obtuse Equilateral

b)

Obtuse Isosceles

c)

Isosceles

d)

Acute Scalene

2.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Right Equilateral

3.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Obtuse Isosceles

d)

Obtuse Scalene

4.

In a triangle, how many total degrees are there?

a)

100 $\degree$

b)

180 $\degree$

c)

360 $\degree$

d)

It varies on the type of triangle

5.

What is the name of this kind of triangle?

a)

Isosceles

b)

Scalene

c)

Equilateral

6.

What is the value of the missing angle?

a)

61

b)

50

c)

60

d)

69

7.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

8.

a)

146

b)

34

c)

36

d)

136

9.

Which of the following terms best describes Angle d? (remember that it's outside)

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

10.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

11.

Which postulate can be used to prove the triangles congruent?

a)

ASA

b)

SAS

c)

AAS

d)

SSS

12.

Which additional piece of information would be needed to prove the triangles congruent using ASA?

a)

m<A = m<F

b)

AB = FE

c)

m<C = m<D

d)

AC = FD

13.

Which postulate can be used to prove triangle GEF is congruent to triangle GJH?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

14.

For the given triangles, if LO=12 and OM=16, find the length of PQ.

a)

12

b)

16

c)

4

d)

28

15.

Which side length is the largest?

a)

Angle C

b)

BA

c)

CB

d)

CA

16.

Why isn't this a triangle?
Side lengths
2, 6, 3

a)

Because 3 + 6 > 2

b)

Because 2 x 3 = 6

c)

Because 2 + 3 < 6

d)

Because 2 + 6 > 3

17.

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

a)

Yes

b)

No

c)

I don't know.

18.

Can the sides of a triangle have lengths 3, 8, and 9?

a)

Yes

b)

No

19.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

20.

Name the smallest angle in this triangle.

a)

∠A

b)

∠B

c)

∠C

21.

The longest side of a triangle would be located where on a triangle?

a)

Across from the smallest angle

b)

Across from the largest angle

c)

Cannot tell.

d)

Adjacent to the smallest side.

22.

The smallest angle would be located where in a triangle?

a)

Across from the smallest side.

b)

Across from the largest side

c)

Cannot tell

23.

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

a)

equal

b)

congruent

c)

proportional

d)

none of these

24.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

25.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

26.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

27.

Why are the triangles similar?

a)

AA

b)

SAS

c)

SSS

d)

Not similar

28.

If the triangles are similar, state why.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

29.

The two right triangles below are similar. What is x, the missing side length in triangle DEF?

a)

3.75

b)

9.75

c)

10

d)

12

30.

Solve for x. The two figures are similar.

a)

x = 6

b)

x = 9

c)

x = 7

d)

x = `0

31.

What is the height of the Tree?

a)

20

b)

15

c)

30

d)

10

32.

A telephone booth that is 8ft tall casts a shadow that is 4ft long. Find the height of a lawn gnome that casts a 2ft shadow.

a)

2 ft

b)

4 ft

c)

6 ft

d)

8 ft

33.

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner?

a)

72 in

b)

60 in

c)

62 in

d)

80 in

34.

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

a)

24 feet

b)

21 feet

c)

27 feet

d)

32 feet

35.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

36.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

37.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

38.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

39.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

40.

a)

24/32

b)

32/24

c)

32/40

d)

24/40

41.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

42.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

43.

Find the measure of angle A using an inverse trig ratio.

a)

61.9 degrees

b)

28.1 degrees

c)

25.2 degrees

d)

.99997 degrees

44.

Solve for x. Round to the nearest tenth.

a)

15.3

b)

16.6

c)

24.1

d)

24.3

45.

Solve for x. Round to the nearest tenth.

a)

74.9

b)

3.6

c)

63.5

d)

54.1

46.

Solve for x. Round to the nearest tenth.

a)

19.0

b)

20.0

c)

21.0

d)

20.5

47.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

8^o

48.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

49.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

50.

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

a)

Multiply that leg by 2

b)

Use the same length for the second leg

c)

Multiply that leg by √2

d)

Divide that leg by √2

51.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

52.

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

a)

4√2

b)

4

c)

8

d)

4√3

53.

Which side is the long leg in this 30-60-90 triangle?

a)

4

b)

u

c)

v

54.

Which side is the short leg of this 30-60-90 triangle?

a)

6

b)

m

c)

n

55.

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

56.

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

a)

Multiply 7 by 2

b)

Multiply 7 by √3

c)

Divide 7 by 2

d)

Divide 7 by √3

57.

What are x and y in this 30-60-90 triangle?

a)

x = 6 y = 3√3

b)

x = 1.5√3 y =1.5

c)

x = 3√3 y = 6

d)

x = √3 y = 2√3

58.

What are x and y in this 30-60-90 triangle?

a)

x = 6 y = 3√3

b)

x = 3√2 y = 3

c)

x = 3√3 y = 6

d)

x = 3√3 y = 3√2

59.

What are u and v in this 30-60-90 triangle?

a)

v = 2√3 u = 6

b)

v = 4 u = 4√3

c)

v = 4 u = 4√2

d)

v = 4√3 u = 8√3

60.

Divide $\frac{4}{\sqrt{3}}$

a)

$\frac{4\sqrt{3}}{3}$

b)

$\frac{4\sqrt{3}}{2}$

c)

$4\sqrt{3}$

61.

Multiply $5\sqrt{2}\cdot\sqrt{2}$ .

(a)

62.

What is the measure of side b?

a)

5

b)

$\frac{10}{\sqrt{2}}$

c)

$5\sqrt{2}$

d)

$10\sqrt{3}$

63.

How long is e?

a)

3

b)

6

c)

$6\sqrt{3}$

d)

$6\sqrt{2}$

64.

Find the length of m.

a)

4

b)

6

c)

12

d)

$2\sqrt{3}$

65.

What is the length of the short leg of this 30-60-90 triangle?

a)

6

b)

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

c)

3

d)

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

66.

In this 30-60-90 triangle, what is the length of the long leg?

a)

6√2

b)

3√3

c)

12

d)

6√3

67.

How do you find the area of a triangle?

a)

base x height

b)

take half of the base times the height

c)

add up all of the sides

68.

What is the formula for the area of a triangle?

a)

A = 1/2 bh

b)

A = bh

c)

A = s + s + s

69.

Find the area of the triangle.

a)

10 cm²

b)

24 cm²

c)

12 cm²

70.

Find the area of the triangle.

a)

36

b)

72

c)

36 units²

d)

72 units²

71.

Find the area of the triangle.

a)

5 cm²

b)

10 cm²

c)

7 cm²

72.

What is the area of the triangle shown?

a)

44.4 mm²

b)

8.5 mm²

c)

8.88 mm²

d)

17.76 mm²

73.

Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.

a)

18

b)

36

c)

72

d)

40

74.

Find the area of the trapezoid.

a)

18 m²

b)

165 m²

c)

84 m²

d)

22.5 m²

75.

Find the Area:

a)

84 m²

b)

168 m²

c)

112 m²

d)

56 m²

76.

Find the area of the figure.

a)

10 cm²

b)

24 cm²

c)

12 cm²

d)

20 cm²

77.

Find the area:

a)

13 in²

b)

20 in²

c)

26 in²

d)

40 in²

78.

Find the area.

a)

64 yards squared

b)

40 yards squared

c)

14 yards squared

d)

48 yards squared

79.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

80.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

81.

What is the area of this circle?

a)

1385.44

b)

2142.12

c)

5541.77

d)

1289.12

82.

What is circumference?

a)

The distance around a circle.

b)

The space inside the circle.

c)

A line from side to side passing through the center.

d)

A line from the center to the side.

83.

The formula for the circumference of a circle is...

a)

$C\ =\ \pi d$

b)

$C\ =\ \pi$

c)

$C\ =\ \pi r$

d)

$C\ =\pi r^2$

84.

The formula for finding the area of a circle is...

a)

$A\ =\ \pi d$

b)

$A\ =\ \pi$

c)

$A\ =\pi r$

d)

$A\ =\pi r^2$

85.

Find the circumference of the circle

a)

87.82in

b)

153.86in

c)

43.96in

d)

307.72in

86.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

87.

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

a)

150°

b)

100°

c)

210°

d)

105°

88.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

89.

a)

A

b)

B

c)

C

d)

D

90.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

91.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

92.

a)

A

b)

B

c)

C

d)

D

93.

a)

A

b)

B

c)

C

d)

D

94.

Determine the measure of Arc BA.

a)

A

b)

B

c)

C

d)

D

95.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

96.

Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to thenearest tenth of a square unit.

a)

0.3 square units

b)

15.7 square units

c)

19.7 square units

d)

50.3 square units

97.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

98.

The distance along an arc measured in linear units.

a)

area of a sector

b)

arc length

c)

arc of a circle

d)

sector of a circle

99.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

100.

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)

101.

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

a)

4

b)

2

c)

3

d)

16

102.

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

a)

16

b)

32

c)

3

d)

4

103.

In the equation (x+2)²+(y+3)²=49, the center of the circle is at....

a)

(2, 3)

b)

(3, 2)

c)

(-3, -2)

d)

(-2, -3)

104.

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

105.

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

106.

What is the radius of the circle

(x+7)²+(y-2)²=144?

a)

7

b)

12

c)

24

d)

144

107.

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

108.

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

Honors Geometry Final Exam Review

Total questions: 108

Worksheet time: 5hrs 17mins

Similar Resources on Wayground