8th grade chapter 7 review

Mark says he can prove the Pythagorean Theorem using the following diagram. He explains that he can fill the squares on the two shorter sides with equal-sized circles. He can then rearrange the circles to fill the square on the hypotenuse, which proves that the sum of the squares on the two shorter sides equals the square on the hypotenuse.

Is this a valid geometrical proof that a² + b² = c² for all right triangles?

• no

• yes

Tags

CCSS.8.G.B.8

A triangle has side lengths 1.5 inches, 2 inches, and 3 inches. Is the triangle a right triangle?

• yes

• no

Tags

CCSS.8.G.B.8

A basketball court is in the shape of a rectangle that is 94 feet long and 50 feet wide. What is the length of a diagonal of the court? Round to the nearest tenth.

• 106.5 ft

• 79.6 ft

• 6336 ft

• 11336 ft

Tags

CCSS.8.G.B.8

You are painting the roof of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does the ladder need to be to reach the roof of the boathouse?

• 7 ft.

• 32.9 ft.

• 37 ft.

• 10 ft.

Tags

CCSS.8.G.B.8

Select all the sets of legs that could represent the sides of a right triangle.

• 5cm, 10cm, 15cm

• 7in., 14in., 25in.

• 13m, 84m, 85m

• 5ft, 11ft, 12ft

Tags

CCSS.8.G.B.8

Is the purple triangle a right triangle?

• yes

• no

Tags

CCSS.8.G.B.8

• 23 units

• 22 units

• 21 units

• 22.2 units

Tags

CCSS.HSG.GPE.B.7

Maliki is building a ramp with a base of 4 feet and a vertical height of 2 feet. What is the length of the ramp? Round to the nearest tenth.

• 6.0 ft

• 4.5 ft

• 3.5 ft

• 2.0 ft

Tags

CCSS.8.G.B.7

A packaging box for a metal rod is 7.5 inches a diagonal of the base. The height of the box is 18 inches. What is the length of a diagonal of the box?

• 10.5 in.

• 19.5 in.

• 16.4 in.

• 25.5 in.

Tags

CCSS.8.G.B.7

Points C and D represent the location of two parks on a map. Find the distance between the parks on a map. Find the distance between the parks if the length of each unit on the grid equal to 25 miles. Round to the nearest mile.

• 150 miles

• 168 miles

• 100 miles

• 140 miles

Tags

CCSS.6.NS.C.8