Free Printable SS Geometry

1.

Simplify

a)

9

b)

√9

c)

3√9

d)

can't simplify

2.

Simplify:
√200

a)

10√2

b)

2√10

c)

50√2

d)

2√50

3.

Simplify:
√45

a)

9√5

b)

3√5

c)

5√9

d)

3√15

4.

Find the length of the missing side.

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

5.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

6.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

7.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

8.

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

9.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

10.

Sides a and b are called legs.

a)

true

b)

false

11.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

12.

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

13.

Three side lengths are given... if they form a triangle, what type do they create?

a = 6

b = 9

c = 13

a)

Not a triangle!

b)

Acute Triangle

c)

Right Triangle

d)

Obtuse Triangle

14.

Three side lengths are given... if they form a triangle, what type do they create?

x = 14

y = 9

z = 3

a)

Not a triangle!

b)

Acute Triangle

c)

Right Triangle

d)

Obtuse Triangle

15.

Three side lengths are given... if they form a triangle, what type do they create?

j = 6.1

f = 3.9

k = 4.7

a)

Not a triangle!

b)

Acute Triangle

c)

Right Triangle

d)

Obtuse Triangle

16.

What type of special right triangle is this?

a)

Isoceles right

b)

30-60-90

c)

not a special right triangle

17.

What is the measure of side c?

a)

7

b)

$\frac{7}{\sqrt{2}}$

c)

$7\sqrt{2}$

d)

14

18.

What is side b?

a)

hypotenuse

b)

leg

c)

long leg

d)

short leg

19.

What is the measure of side c?

a)

6

b)

$6\sqrt{2}$

c)

$6\sqrt{3}$

d)

12

20.

What type of special right triangle is this?

a)

45-45-90

b)

30-60-90

c)

not a special right triangle

21.

What is the measure of a?

a)

3

b)

$3\sqrt{3}$

c)

6

d)

$3\sqrt{2}$

22.

Find a.

a)

2

b)

4

c)

$2\sqrt{2}$

d)

$2\sqrt{2}\sqrt{2}$

23.

How long is e?

a)

3

b)

6

c)

$6\sqrt{3}$

d)

$6\sqrt{2}$

24.

Find n.

a)

4

b)

6

c)

12

d)

$2\sqrt{3}$

25.

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

a)

8√2

b)

4√2

c)

4

d)

8

26.

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

a)

32√3

b)

16√3

c)

32

d)

16√2

27.

A square tablecloth has a line of embroidered flowers along the diagonal. The tablecloth is 48 in. on each side. How long is the embroidery line? Round to the nearest inch.

a)

48√2

b)

68

c)

34

d)

24√2

28.

The hypotenuse of a right triangle measures 19 meters. One leg measures 15 meters. To the nearest tenth of a meter, what is the length of the other leg?

a)

17.0 meters

b)

24.2 meters

c)

11.7 meters

d)

14.3 meters

29.

Which is the correct ratio for the sine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

30.

Which is the correct ratio for the cosine ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

31.

Which is the correct ratio for the tangent ratio?

a)

$\frac{adjacent\ }{hypotenuse}$

b)

$\frac{opposite\ }{hypotenuse}$

c)

$\frac{adjacent\ }{opposite\ }$

d)

$\frac{opposite\ }{adjacent\ }$

32.

What side is opposite $\angle$ J?

a)

9

b)

40

c)

41

d)

none

33.

What side is adjacent to $\angle$ J?

a)

9

b)

40

c)

41

d)

none

34.

What is a common way to remember the definitions of the trig ratios?

a)

SAH COH TOA

b)

SOA COH TOA

c)

SOH CAH TOA

d)

ADJ OPP HYP

35.

What is $\cos A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

36.

What is $\tan A$ ?

a)

$\frac{29}{20}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

37.

What is $\tan\ C$ ?

a)

$\frac{20}{21}$

b)

$\frac{21}{29}$

c)

$\frac{20}{29}$

d)

$\frac{21}{20}$

38.

cos______ = $\frac{40}{50}$

a)

A

b)

B

c)

C

39.

tan_____ = $\frac{30}{16}$

a)

X

b)

Y

c)

Z

40.

cos______ = $\frac{40}{50}$

a)

A

b)

B

c)

C

41.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

42.

a)

24/32

b)

32/24

c)

32/40

d)

24/40

43.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

44.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

45.

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. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?

a)

25 feet

b)

45 feet

c)

110 feet

d)

135 feet

46.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

47.

Rounded to 1 decimal place, what is the value of x?

a)

15.0

b)

9.1

c)

17.0

d)

4.3

48.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

49.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

50.

Solve for x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

51.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

52.

Choose the correct ratio.

a)

sin^-1(12/29)

b)

cos^-1(12/29)

c)

tan^-1(12/29)

d)

tan^-1(29/12)

53.

Solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

54.

Solve for the missing angle.

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

55.

To find a missing angle when given two sides, you must use ______

a)

Trigonometric Functions

b)

Trigonometric Rations

c)

Inverse Trigonometric Functions

d)

Pythagorean Theorem

56.

Set up an equation that could be used to solve for the variable.

a)

b)

c)

d)

57.

Solve the right triangle.

a)

<B = 39^o, AB = 11.58, AC = 7.29

b)

<B = 39^o, AB = 7.29, AC = 11.58

c)

<B = 129^o, AB = 11.58, AC = 7.29

d)

<B = 129^o, AB = 7.29, AC = 11.58

58.

Solve the triangle.

a)

CA= 23.022, A= 42.35, B= 47.65

b)

CA= 13.856, A= 43.175, B= 46.825

c)

CA= 13.856, A= 43.174, B= 46.826

d)

CA=23.022, A= 41.35, B= 48.65

59.

Find the measure of angle A.

a)

24

b)

90

c)

66

d)

42

60.

Find the length of side AC.

a)

25.4

b)

24.7

c)

29.2

d)

28.3

SS Geometry - CHAPTER 9

Total questions: 60

Worksheet time: 2hrs 25mins

Similar Resources on Wayground