Three Squares Right Triangle Quiz

The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?

• The sum of the areas of Square N and Square L is equal to the area of Square K.

• The sum of the areas of Square N and Square L is greater than the area of Square K.

• The sum of the areas of Square N and Square K is equal to the area of Square L.

• The sum of the areas of Square N and Square K is less than the area of Square L.

An artist joined three square regions at their vertices to create the figure shown in the diagram. The artist will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, which statement is true?

• The number of tiles needed to cover Region X is the same as the number of tiles needed to cover both Region Y and Region Z.

• The number of tiles needed to cover Region Y is the same as the number of tiles needed to cover both Region X and Region Z.

• The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y.

• None of these

Parallelogram PQRT is shown. Which statement proves that parallelogram PQRT is a rectangle?

• 15² – 8² = TQ²

• 8 + 15 = TQ

• 15 – 8 = TQ

• 8² + 15² = TQ²

Which measurements could represent the side lengths in feet of a right triangle?

• 10 ft, 24 ft, 26 ft

• 14 ft, 14 ft, 14 ft

• 3 ft, 3 ft, 18 ft

• 2 ft, 3 ft, 5 ft

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet?

• 9 ft

• 17 ft

• 12.4 ft

• 13.6 ft

The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagonal. Which measurement is closest to the length of the diagonal in inches?

• 6.24 in.

• 19.5 in.

• 6.98 in.

• 13.9 in.

The two lines graphed on the coordinate grid each represent an equation. Which ordered pair represents a solution to both equations?

• (-4, 0)

• (-3, 3)

• (3, -3)

• (0, 4)

Frank and Erica are selling ribbons to raise money for the football team. The graph shows the linear relationship between the number of ribbons each of them has left to sell and the number of days that they have been selling ribbons. On which day does it appear that Frank and Erica will have the same number of ribbons left to sell?

• Day 15

• Day 48

• Day 33

• Day 18

The graph models the linear relationship between the charge for a trip and the number of miles driven for two taxis. Based on the graph, which statement appears to be true?

• The charge for a trip with a distance of 5 miles is $5 greater for Taxi 1 than for Taxi 2.

• The charge for a trip with a distance of 5 miles is $5 less for Taxi 1 than for Taxi 2.

• The charge for a trip with a distance of 5 miles is $20 for both Taxi 1 and Taxi 2.

• The charge for a trip with a distance of 5 miles cannot be determined for either Taxi 1 or Taxi 2.

Rectangle ABCD is shown with the dimensions given in units. The length of AB is greater than the length of AD. Which inequality represents this situation?

• 9x - 16 < 1.5x + 42

• 9x - 16 > 1.5x + 42

• 10.5x < 26

• 10.5x > 26