STAAR Pythagorean Theorem

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

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 tree 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

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 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 in the diagram.

Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake?

• 45.5 ft

• 32.5 ft.

• 17.18 ft.

• 20 ft.

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

The set designer for a play painted some background scenery on a large piece of plywood. He used a 13-foot long pole to hold the piece of plywood upright, as shown in the diagram.

What is h, the total height in feet of the piece of plywood?

• 14 feet

• 12 feet

• 15 feet

• 17 feet

The diagram below shows the side view of a ramp used to help load and unload a moving van.

Which measurement is closest to the length of the ramp in feet?

• 8.5 feet

• 10.5 feet

• 9.5 feet

• 13.5 feet

Which measurements could NOT represent the side lengths of a right triangle?

• 6 cm, 8 cm, 10 cm

• 12 cm, 35 cm, 37 cm

• 4 cm, 6 cm, 10 cm

• 10 cm, 24 cm, 26 cm

The coordinates of the endpoints of QR are Q(8, 2) and R(5, 7).

Which measurement is closest to the length of QR in units?

• 5.8 units

• 5 units

• 4 units

• 3.9 units

The coordinates of the vertices of a triangle are shown P(2, 13), Q(7, 1) and R(2, 1).

What is the length of segment PQ in units?

• 13 units

• 12 units

• 2.4 units

• 5 units