Pythagorean Theorem Quick Check

The side view of a ramp that Jessie built for his race cars is shown. Find r, the length of the ramp to the nearest tenth.

• 21 inches

• 15.7 inches

• 6.5 inches

• 17.4 inches

Three square rooms in Joey's house meet to form a right triangle as shown. Joey is going to put new carpet to cover the floor of each room as well as new trim around the edges of each room. Which is a true statement based on the diagram?

• The amount of carpet needed in Room Z should be the same as the carpet needed in both Room X and Room Y.

• The amount of trim needed in Room Z should be the same as the trim needed in both Room X and Room Y.

• Both statements above are true and correct.

• Neither statements above are true.

Titus is building a triangular frame with three pieces of wood that measure 3 inches, 5 inches, and 10 inches. Which of the following is true about the frame?

• The frame will be a right triangle because 5(2) + 3(2) < 10(2).

• The frame will be a right triangle because 5² + 3² < 10².

• The frame will not be a right triangle because 5² + 3² is not equal to 10².

• The frame will not be a right triangle because 5(2) + 3(2) is not equal to 10(2).

The side view of a wall shelf in Luke's office is shown below. The diagonal support piece is 17 centimeters, and the piece against the wall is 8 centimeters. What is the approximate measure of w, the total width of the shelf?

• 8 centimeters

• 15 centimeters

• 22 centimeters

• 26 centimeters

The graph shows the design for the front view of a doghouse that Jeremy plans to build. If each square on the graph represents 1 foot, find the perimeter of the design.

• 32 feet

• 26 feet

• 35 feet

• 28 feet

The model below is used to show the relationship between the side lengths of a right triangle. Which describes the square that could be connected to side b of the triangle to correctly complete the model?

• A square with side lengths of 400 feet.

• A square with side lengths of 100 feet.

• A square with side lengths of 50 feet.

• A square with side lengths of 20 feet.

Neil wants to join three pieces of metal to form a right triangle. Which of the following lengths could he use?

• 4, 4 and 8 feet

• 7.5, 10 and 12.5 feet

• 9, 11 and 23 feet

• 6, 12.5 and 96 feet

Greta takes a cab ride along Avenue F and Avenue G. Jack takes a cab ride along Avenue H. How many miles shorter is Jack's cab ride than Greta's?

• 12 miles

• 10 miles

• 47 miles

• 2 miles

The side view of Mrs. Marigold's roof on her house is shown. Find h, the height of Mrs. Marigold's roof.

• 40 feet

• 22 feet

• 24 feet

• 10 feet

Point A on the graph represents Nate's house, and Point B represents Nate's favorite restaurant. If each unit on the graph represents 1 mile, how many miles does Nate live from his favorite restaurant?

• 11.4 miles

• 10 miles

• 8 miles

• 5.3 miles