Math 8 - Review Quiz: 8.G.6 - 8.G.9

The figure below shows a 39-inch ramp that is attached to a deck. How high is the deck if the base of the ramp is 36 inches from the deck?

• 15 inches

• 9 inches

• 8.7 inches

• 3 inches

The width of a rectangular lawn is 39 feet. A diagonal of the lawn is 89 feet. What is the length of the rectangular lawn, in feet?

• 50

• 64

• 80

• 89

Gina lives 2,640 feet directly north of the school and Carla lives 1,760 feet directly west of the school. There is a trail between the two houses, as shown on the diagram. Which distance is the closest approximation for the length of the trail?

• 4,400 ft

• 3,173 ft

• 1,968 ft

• 880 ft

The lengths of the legs of a right triangle are 5 feet and 12 feet. What is the length, in feet, of the third side of the triangle?

• 8.5

• 10.9

• 13

• 17

The lengths of the legs of a right triangle are 7.5 inches and 10.0 inches. What is the length of the hypotenuse of this right triangle?

• 2.5 in.

• 6.6 in.

• 12.5 in.

• 17.5 in.

A right triangle is formed by squares made up of identical square blocks as shown. Which statement BEST describes what the figure shows?

• Three plus four equals five.

• Three plus four equals five squared.

• Three squared plus four squared equals five.

• Three squared plus four squared equals five squared.

In the figure, quadrilaterals ABHI, BCDE, and EFGH are squares. Which statement can be concluded from the fact that the area of square BCDE is equal to the area of square EFGH?

• BE + EH = BH

• BE + BH = EH

• BE² + EH² = BH²

• BE² + BH² = EH²

A right triangle has legs that measure 8 feet and 6 feet. What is the length of the hypotenuse?

• 2 feet

• 5 feet

• 10 feet

• 14 feet

A triangle is formed by arranging squares R, S, and T. The area of square S is 36 square units. The side length of square T is 10 units. Which statement explains one method to determine if the triangle is a right triangle?

• Determine if the sum of 10² and 6 is equivalent to the area of square R.

• Determine if the sum of 10² and 36 is equivalent to the area of square R.

• Determine if the difference between 10² and 6 is equivalent to the area of square R.

• Determine if the difference between 10² and 36 is equivalent to the area of square R.

A rectangle is shown below. What is the area of the rectangle?

• 372 in.²

• 432 in.²

• 540 in.²

• 630 in.²