Pythagorean Theorem Review

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 L is equal to the area of Square K.

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

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

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

Tags

8.6C

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square. Which three squares do NOT support this statement?

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Tags

8.6C

An artist joined 3 square regions at the 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 this info, 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.

Tags

8.6C

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

Tags

8.7C

The length of a rectangular frame is 15 inches, and the width of the frame is 8 inches. What is the length of a diagonal of this frame in inches?

(a)  

Tags

8.7C

Natasha walked from the library to the grocery store and then to her house. The diagram shows the top view of the locations of these three places and their distances from each other. Which measurement is closest to the shortest distance in miles from Natasha's house to the library?

• 2.6 mi

• 1.9 mi

• 1.4 mi

• 2.3 mi

Tags

8.7C

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 inches

• 19.5 inches

• 6.98 inches

• 13.9 inches

Tags

8.7C

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown. Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake? (round to the nearest tenths place)

(a)  

Tags

8.7C

A right triangle and two of its side lengths are shown in the diagram. Which measurement is closest to the value of x in centimeters?

• 37.1 cm

• 40.8 cm

• 27 cm

• 51 cm

Tags

8.7C

The set designer for a play painted some background scenery on a large piece of plywood. He used a 13 ft long pole to hold the piece of plywood upright, as shown. What is h, the total height in feet of the piece of plywood? (HINT: don't forget the extra piece)

(a)  

Tags

8.7C