Pythagorean Theorem 2/23

The diagram shows Squares D, E, and F joined at vertices to form a right triangle.

Which statement is true?

• The sum of the areas of Square D and Square F is less than the area of Square E.

• The sum of the areas of Square D and Square E is greater than the area of Square F.

• The sum of the areas of Square D and Square F is equal to the area of Square E.

• The sum of the areas of Square D and Square E is equal to the area of Square F.

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.

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller square is the same as the area of the largest square.

Which three squares do NOT support this statement?

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An artist joined three square regions at their vertices to create the figure shown in the diagram. The artist will use the 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 ad 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?

The diagram shows a right triangle and the lengths of two of its sides in inches.

Which measurement is closest to the value of d in inches?

• 6.3 in

• 4.0 in

• 14.3 in

• 19.8 in

The diagram represents a ramp in the shape of a right triangle and the lengths of two of its sides in feet.

What is the length of the ramp?

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 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?

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