Pythagorean Theorem Coordinate Grid

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14

• 10

• 5.3

• 2

The hypotenuse of a right triangle has endpoints A(4, 1) and B(–1, –2). At which points could the vertex of the right angle in the triangle be located? Check all that apply.

• (–1, 1)

• (4, -2)

• (1,1)

• (2, -2)

• (4, -1)

What is the length of the unknown leg in the right triangle?

• 8 cm

• 16 cm

• 20 cm

• 40 cm

Tamika builds a wooden skateboard ramp. The ramp measures 63 centimeters, and the length of its horizontal base is 60 centimeters, as shown. In centimeters, what is the approximate height of the ramp? Round the answer to the nearest tenth of a centimeter.

Isaiah is jogging near his college. He runs south along Capitol Street for about 0.75 miles and east along H Street for about 1.2 miles. He then turns left and runs along Florida Avenue until he reaches his starting point. How long is his total run to the nearest hundredth of a mile?

• 2.89 miles

• 3.37 miles

• 3.67 miles

• 3.92 miles

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

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 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)

Tags

8.7C

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 ft

• 10.5 ft

• 9.5 ft

• 13.5 ft

Tags

8.7C

The coordinates of the vertices of the triangle shown are P (2, 13), Q (7, 1), and R (2, 1). What is the length of segment PQ in units?

Tags

8.7D