Pythagorean Theorem Review

A carpenter joined three square regions at their vertices to create the figure shown below. The carpenter 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 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

CCSS.3.MD.C.5A

Which measurements could NOT represent the side lengths of a right triangle? Pick TWO answers.

• 6 cm, 8 cm, 10 cm

• 5 cm, 9 cm, 17 cm

• 7 cm, 24 cm, 25 cm

• 12 cm, 35 cm, 37 cm

• 33 cm, 56 cm, 68 cm

Tags

CCSS.8.G.B.8

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 in feet?

Tags

TEKS.MATH.8.7C

The coordinates of the vertices of a rectangle are A (5, 3), B (5, -9), C (-1, -9), and D (-1, 3). What is the distance between Point B and Point D in units? Round to the nearest tenth.

Mathematical Equivalence

ON

Tags

CCSS.6.G.A.3

The dimensions of a rectangular piece of construction paper are 9.5 inches and 14 inches. Veronica folded the paper along its diagonal. What is the approximate length of the diagonal in inches?

• 10.28 inches

• 23.5 inches

• 10.88 inches

• 16.92 inches

Tags

CCSS.8.G.B.8

Which statement is true about the three measurements of a particular triangle? 15 cm, 20 cm, 25 cm

• 1. The triangle is a right triangle because, 25²+15²=20².

• The triangle is a right triangle because,

  15² + 20² = 25².

Tags

CCSS.8.G.B.8

Students plan to decorate the school’s flagpole with strings of lights. One end of each string of lights will be attached to the top of the flagpole, and the other end will be attached to the ground. Which measurement is closest to the length of one string of lights in feet?

• 17 ft

• 13 ft

• 16 ft

• 23 ft

Tags

CCSS.8.G.B.8

The coordinates of the endpoints of HZ are H (2, 4) and Z (8, 6). What is the length of HZ in units?

• 8.0 units

• 6.3 units

• 6.7 units

• 4.0 units

Tags

CCSS.HSG.GPE.B.7

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

• 9 yards

• 17 yards

• 12.4 yards

• 13.6 yards

Tags

CCSS.8.G.B.8

What is the length of the side RV? Round to the nearest tenth.

Mathematical Equivalence

ON

Tags

CCSS.6.G.A.3