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Pracitce G.7

Total questions: 27

Worksheet time: 14mins

Name
Class
Date
1.

Which of the following is the length of the missing side?

a)

11 inches

b)

13 inches

c)

25 inches

d)

27 inches

2.

A 26 foot rope is used to brace a tent pole at the county fair. The rope is anchored 10 feet from the box of the pole. How tall is the tent pole?

a)

28 ft

b)

24 ft

c)

21.8 ft

d)

30 ft

3.

A playhouse includes a 15 foot slide, due to safety regulations, the base of the slide is 12 feet from the base of the playhouse structure. How tall is the top of the slide?

a)

19.2 feet

b)

1.7 feet

c)

9 feet

d)

3 feet

4.

Matthew is building a ramp in the shape of a right triangle, as shown. If the length of the ramp is 52 feet, and the horizontal distance covered is 48 feet, what is the vertical height of the ramp?

a)

100 feet

b)

20 feet

c)

50 feet

d)

4 feet

5.

Consider the right triangle. What is the value of x?

a)

32 cm

b)

16 cm

c)

23 cm

d)

8 cm

6.

A right triangle and two of its side lengths are shown in the diagram. Which measurement is closest to the value of x in cm?

a)

40.8 cm

b)

27 cm

c)

37.1 cm

d)

51 cm

7.

The state wants to build a straight road so there is a direct route from North Town to East Town. How long will the road be between North Town and East Town?

a)

63 miles

b)

13 miles

c)

15 miles

d)

54 miles

8.

The diagram shows a sailboat. What is the approximate length of the sail shown?

a)

11 feet

b)

23 feet

c)

32 feet

d)

4 feet

9.

The diagram represents a map of the distance between Sean, Mia, and Luke's houses. What is the distance from Sean's house to Luke's house?

a)

13 miles

b)

14 miles

c)

15 miles

d)

16 miles

10.

Consider the right rectangular prism. What is the length of diagonal d?

a)

19

b)

20

c)

15

d)

25

11.

Consider the right rectangular prism. What is the length of diagonal XY?

a)

167 units

b)

145 units

c)

23 units

d)

17 units

12.

What is the diagonal of this rectangular prism?

a)

77\sqrt{77}

b)

15\sqrt{15}

c)

1

d)

353\sqrt{5}

13.

A rectangular field is shown. Amy and Arlo start running from point W, and both reach point Y using different paths. Amy follows the path including both WX and XY while Arlo uses only WY. How many more yards does Amy run than Arlo?

a)

8 yards

b)

26 yards

c)

30 yards

d)

34 yards

14.

Consider the right rectangular prism, where segment YZ is a diagonal connecting vertices Y and Z. What is the length of the diagonal?

a)

71.5 in.

b)

67.6 in.

c)

44.5 in.

d)

37.8 in.

15.

Consider the right rectangular prism. What is the length of the diagonal segment LM?

a)

24\sqrt{24} units

b)

10\sqrt{10} units

c)

8\sqrt{8} units

d)

2\sqrt{2} units

16.

Two boats sail from the same harbor. Boat X travels 28 miles east, and Boat Y travels 45 miles north. What is the shortest distance between Boat X and Boat Y?

a)

17 miles

b)

33 miles

c)

53 miles

d)

73 miles

17.

Consider the right rectangular prism with a diagonal connecting vertices Q and R. What is the distance between vertices Q and R?

a)

54.5 units

b)

55 units

c)

61.4 units

d)

65 units

18.

A rectangular garden is partitioned into two equal sections across its diagonal. If the length of the garden is 12 ft, and the diagonal is 13 ft, what is the value of w?

a)

0.5

b)

1

c)

5

d)

12.5

19.

A playhouse includes a 15-foot slide, and due to safety regulations, the base of the slide is 12 feet from the base of the playhouse structure. How tall is the top of the slide?

a)

1.7 feet

b)

3 feet

c)

9 feet

d)

19.2 feet

20.

A student has a gift box that measures 5 inches by 10 inches by 10 inches. The student knows that large items will have to be placed diagonally inside the box, as shown. What is the longest item that the student can wrap if the item is positioned diagonally?

a)

10 inches

b)

12 inches

c)

15 inches

d)

20 inches

21.

Consider the right rectangular prism. What is the length of diagonal XY?

a)

167 units

b)

145 units

c)

23 units

d)

17 units

22.

The area of the rectangle is 18 square feet. What is the value of x, in feet, rounded to the nearest whole number?

a)

10 feet

b)

9 feet

c)

8 feet

d)

7 feet

23.

Caleb has a piece of rectangular paper that is 12 inches wide by 16 inches long. He drew a straight line along the diagonal of the paper. What is the length of the line Caleb drew?

a)

√28

b)

√112

c)

20

d)

28

24.

Using the Pythagorean Theorem, what is the value of c?

a)

6\sqrt{6} units

b)

20\sqrt{20} units

c)

6 units

d)

20 units

25.

Triangle DEF is a right triangle with a right angle at vertex F. Side DF has a length of 9 inches and side FE has a length of 12 inches. What is the length, in inches, of side DE?

a)

15 inches

b)

14 inches

c)

16 inches

d)

17 inches

26.

Taylor uses 2 sticks that are 13 feet long to make the slanted sides of a tent. From the bottom poles, the opening is 10 feet long. What is the height of the tent in feet?

a)

16.4

b)

12

c)

10

27.

What is the diagonal of this rectangular prism?

a)

77\sqrt{77}

b)

15\sqrt{15}

c)

1

d)

353\sqrt{5}