# Unit 7 Test

20 Questions | Total Attempts: 323  Settings  .

• 1.
Two sides of a triangle measure 20 inches and 12 inches. Which of the following choices for the length of the third side will make the triangle a right triangle?
• A.

8 in

• B.

14 in

• C.

16 in

• D.

18 in

• 2.
The length of the hypotenuse of a right triangle is 15 cm. The length of one leg is 9 cm. Find the length of the other leg.
• A.

6 cm

• B.

12 cm

• C.

17 cm

• D.

144 cm

• 3.
Mrs. Bird set-up her kindergarten classroom so that there was a right triangular area formed by the bookshelves, as shown in the picture below?If bookshelf A is 6 feet long and bookshelf B is 8 feet long, what is the length of bookshelf C?
• A.

10 feet

• B.

12 feet

• C.

14 feet

• D.

16 feet

• 4.
Which of the triangles described in the table is a right triangle? Triangle                Side 1    Side 2    Side 3              Q                       25           20           15                R                       26           20           46                S                        25           20        1,025              T                        25           26           650
• A.

Q

• B.

R

• C.

S

• D.

T

• 5.
Find the perimeter of a right triangle with legs of 20 cm and 21 cm.
• A.

47 cm

• B.

70 cm

• C.

82 cm

• D.

882 cm

• 6.
The area of a right triangle is 24 square units. Which of the following sets of numbers could represent the side lengths, in units, of the right triangle?
• A.

3, 8, and 9

• B.

4, 6, and 8

• C.

4, 12, and 15

• D.

6, 8, and 10

• 7.
A light post is set in concrete and supported with a guy wire while the concrete dries. The length of the guy wire is 10 feet and the ground stake is 4 feet from the bottom of the light post. Find the height of the light post, x, from the ground to the top of the light post. Round your answer if needed.
• A.

10.8 ft

• B.

116 ft

• C.

9.2 ft

• D.

84 ft

• 8.
A bridge has 14-ft horizontal members and 18-ft vertical members. Find the length of each diagonal member to the nearest foot.
• A.

Each diagonal member is approximately 21 feet long.

• B.

Each diagonal member is approximately 23 feet long.

• C.

Each diagonal member is approximately 25 feet long.

• D.

Each diagonal member is approximately 27 feet long.

• 9.
This television screen has a 25-inch diagonal and a 15-inch height. What is the area of the screen?
• A.

375 square inches

• B.

150 square inches

• C.

437 square inches

• D.

300 square inches

• 10.
Right triangle LMN is shown on the coordinate grid below.Which of the following is the length, in units, of line segment MN?Round to the nearest tenth if needed.
• A.

6 units

• B.

6.2 units

• C.

6.7 units

• D.

7 units

• 11.
Point P and point Q are shown on the coordinate grid below.Which of the following best represents the length of segment PQ?
• A.

14 units

• B.

10 units

• C.

6 units

• D.

5 units

• 12.
What is the perimeter of the quadrilateral below? If necessary, round to the nearest tenth.
• A.

23.4 units

• B.

24.4 units

• C.

29.5 units

• D.

33.4 units

• 13.
Find the distance between the two points. Round to the nearest tenth if necessary.(-4, 2) and (-1, 6)
• A.

5 units

• B.

7 units

• C.

9 units

• D.

25 units

• 14.
In the square pyramid below, the base is 16 inches by 16 inches and the height is 15 inches. What is the length of the slant height? If necessary, round to the nearest tenth.
• A.

5.6 in

• B.

17 in

• C.

21.9 in

• D.

289 in

• 15.
Find the length of the diagonal of a rectangular prism with dimensions 24 cm, 10 cm, and 8 cm.
• A.

• B.

• C.

• D.

• 16.
Will a 9 in stick fit inside of a rectangular box that is 8 in long, 4 in wide, and 3 in tall?
• A.

Yes, the diagonal of the bottom of the box is 80 in. which is much longer than 9 in.

• B.

No, the diagonal of the bottom of the box is 8.9 in. which is shorter than 9 in.

• C.

No, all three dimensions are shorter than 9 in.

• D.

Yes, the diagonal of the box is approx. 9.4 in. which is longer than 9 in.

• 17.
Find the volume of a sphere with a radius of 2.6 cm. Use π = 3.14. Round to the nearest hundredth.
• A.

28.3 cubic inches

• B.

41.39 cubic inches

• C.

70.3 cubic inches

• D.

73.58 cubic inches

• 18.
The volume of the cylinder is 1,311.9 in3. Find the height of the cylinder to the nearest tenth of an inch.
• A.

2.9 in

• B.

9.1 in

• C.

17.4 in

• D.

109.3 in

• 19.
Note: Figure is not drawn to scale. If h = 6 in and r = 2 in, then what is the volume of the cone shown above?
• A.

36π cubic inches

• B.

27π cubic inches

• C.

24π cubic inches

• D.

8π cubic inches

• 20.
The volume of the cone is 425 m3. Find the radius of the base of the cone to the nearest whole unit.
• A.

2 m

• B.

9 m

• C.

16 m

• D.

23 m

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