Free Printable HGEO Ch. 9 Multiple Choice Part

1.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

2.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

3.

The Pythagorean Theorem is
a² + b²+ c²

a)

false

b)

true

4.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

5.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

6.

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

7.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

8.

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

9.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

a)

14

b)

10

c)

5.3

d)

2

10.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

11.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

12.

Find the value of x.

a)

36

b)

12

c)

16

d)

25

13.

Does the set of numbers represent a Pythagorean Triple.
4, 5, 6

a)

Yes

b)

No

14.

Does the set of numbers represent a Pythagorean Triple.
10, 24, 26

a)

Yes

b)

No

15.

Does the set of numbers represent a Pythagorean Triple.
15, 20, 25

a)

Yes

b)

No

16.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6

a)

right

b)

obtuse

c)

acute

17.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15

a)

right

b)

obtuse

c)

acute

18.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

c)

Maybe

d)

Pythagoras

19.

If 36 and 48 are the two smaller numbers in a Pythagorean Triple, what is the third number?

a)

45

b)

50

c)

55

d)

60

20.

Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25

a)

Yes

b)

No

21.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

22.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Isosceles

d)

Obtuse

23.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

24.

Find x.

a)

22

b)

11√3

c)

11√2

d)

11

25.

Find a.

a)

12

b)

24

c)

24√3

d)

16

26.

Find a.

a)

2√3

b)

2

c)

12

d)

6

27.

Find x.

a)

9

b)

3√3

c)

6

d)

6√3

28.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

29.

Find the value of x.

a)

18

b)

18√3

c)

36√3

d)

12

30.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

31.

Find the length of AB.

a)

36

b)

18

c)

6

d)

12

32.

The accompanying diagram shows a 24-foot ladder leaning against a building. A steel brace extends from the ladder to the point where the building meets the ground. The brace forms a right angle with the ladder.If the steel brace is connected to the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace?

a)

$\frac{10}{x}=\frac{x}{14}$

b)

$\frac{10}{x}=\frac{x}{24}$

c)

$10^2+x^2=14^2$

d)

$10^2+x^2=24^2$

33.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

34.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

35.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

36.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

37.

What is the saying we use to remember the trig functions?

a)

SOH CAH TOA

b)

SAH COH TAO

c)

COH SAH TOA

d)

SOH COH TOH

38.

$\sin\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{opposite}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

39.

$\cos\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{opposite}{adjacent}$

40.

$\tan\theta=$

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{hypotenuse}{adjacent}$

c)

$\frac{adjacent}{opposite}$

d)

$\frac{opposite}{adjacent}$

41.

Find the length of side W?
sin 68 = 70/w

a)

186.86 m

b)

75.50 m

c)

28.28 m

d)

.01 m

42.

Solve for x. Round to the nearest tenth.

a)

7.5

b)

34.1

c)

14.1

43.

a)

18.9

b)

19.5

c)

47

d)

27.5

44.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

45.

Find h₁

a)

6.69 ft

b)

11.11 ft

c)

9.00 ft

d)

7.43 ft

46.

Find h₂

a)

16.73 ft

b)

22.51 ft

c)

18.59 ft

d)

20.79 ft

47.

Find the measure of the missing angle.

a)

64^o

b)

26^o

c)

61^o

d)

.008^o

48.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

49.

Find the length of Side BC.

a)

33

b)

24

c)

12

d)

29

50.

Find the length of side AB.

a)

10

b)

8

c)

6.1

d)

4.9

51.

What is the measure of angle A?

a)

$58\degree$

b)

$61\degree$

c)

$78\degree$

d)

$74\degree$

52.

Find QR

a)

34.7 km

b)

2.2 km

c)

13.74

d)

31.1 km

53.

Find XZ

a)

16.004 meters

b)

544.165 meters

c)

34.7 meters

d)

1204.165 meters

54.

Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be an A-frame constructed with two 10 foot long 4-by-4s joined at a 45 degree angle. To prevent the swing set form tipping over, Clint wants to secure the base of each A-frame to concrete footings. How far apart should the footings for each A-frame be?

a)

5.461 feet

b)

9.743 feet

c)

6 feet

d)

7.65 feet

HGEO Ch. 9 Multiple Choice Part

Total questions: 54

Worksheet time: 4hrs 29mins

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