Free Printable QZ-GEOM Unit 8 Review

1.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

2.

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

a)

4√2

b)

4

c)

8

d)

4√3

3.

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

a)

8√2

b)

4√2

c)

4

d)

8

4.

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

5.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

6.

solve for the value of y

a)

13

b)

5

c)

23

d)

10

7.

Acute, right, or obtuse?

a)

Acute

b)

Right

c)

Obtuse

d)

I don't know

8.

Acute, right, or obtuse?

a)

Acute

b)

Right

c)

Obtuse

d)

I don't know

9.

Determine the value of x.

a)

x = 10√2

b)

x = 10

c)

x = 5√3

d)

x = 5√6

10.

A square has diagonal length 13 m. What is the side length of the square, to the nearest centimeter?

a)

9.19

b)

18.38

c)

5.10

d)

13

11.

Find the value of x.

a)

17.9 km

b)

13.9 km

c)

24 km

d)

Dang! I wish I had been paying attention in class.

12.

What kind of triangle do the three side lengths form?

10 cm, 49.5 cm, 50.5 cm

a)

Obtuse

b)

Acute

c)

Right

d)

They don't form a triangle.

13.

What kind of triangle is this? (Do the math!!!)

a)

Obtuse

b)

Acute

c)

Right

d)

They don't form a triangle.

14.

Find the value of x.

a)

15

b)

20

c)

48

d)

80

15.

Find the value of x.

a)

20

b)

36

c)

48

d)

60

16.

Find the value of x.

a)

12

b)

60

c)

64

d)

80

17.

Find the value of x.

a)

12

b)

20

c)

25

d)

60

18.

Find the value of x.

a)

15

b)

36

c)

60

d)

80

19.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

20.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

21.

Classify the triangle as acute, obtuse, or right. 7, 15, 21

a)

Obtuse

b)

Right

c)

Acute

22.

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

a)

8√2

b)

4√2

c)

4

d)

8

23.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a² + b² = c²

c)

a² + b² + c²

d)

A = LW

24.

a)

A

b)

B

c)

C

d)

D

25.

a)

A

b)

B

c)

C

d)

D

26.

Solve for the missing angle.

a)

50.1

b)

0.0532

c)

36.9

d)

95.0

27.

Find the measure of the indicated angle.

a)

9.39

b)

55.2

c)

20.2

d)

19.4

28.

Solve for x.

a)

44.0

b)

41.4

c)

1.12

d)

0.723

29.

Solve for x.

a)

104

b)

34.6

c)

55.0

d)

23.4

30.

Solve for x.

a)

9.85

b)

4.74

c)

0.0308

d)

9.87

31.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

63.6 ft

b)

1.59 ft

c)

74.2 ft

d)

86.9 ft

32.

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)

110 feet

d)

135 feet

33.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

34.

What is the correct equation to solve for x ?

a)

tan (58) = x/11

b)

tan (58) = 11/x

c)

cos (58) = x/11

d)

sin (58) = x/11

35.

What is the ratio for Sine?

a)

Hyp/Opp

b)

Opp/Hyp

c)

Opp/Adj

d)

Adj/Opp

36.

Find the value of cos X.

a)

3/5

b)

3/4

c)

4/5

d)

4/3

37.

Find tanZ

a)

35/21

b)

21/28

c)

35/28

d)

28/21

38.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

39.

Choose the correct set up to find the length of the side x.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

40.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

41.

What is the correct set up for the problem to find the measure of the indicated angle?

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

42.

Give the Ratio for SIN X

a)

opp/adj

b)

Adj/hyp

c)

Opp/hyp

d)

adj/opp

43.

Give the Ratio for TAN X

a)

Adj/Opp

b)

Opp/Adj

c)

Adj/Hyp

d)

Opp/Hyp

44.

Give the Ratio for COS X

a)

Adj/Hyp

b)

Opp/Adj

c)

Adj/Opp

d)

Opp/Hyp

QZ-GEOM Unit 8 Review

Total questions: 44

Worksheet time: 2hrs 12mins

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