Pythagorean Theorem on the Grid

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

• 9 ft

• 17 ft

• 12.4 ft

• 13.6 ft

Does the set of numbers represent a right triangle?

• Yes

• No

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 the closest to the length of the diagonal in inches?

• 6.24 in

• 19.5 in

• 6.98 in

• 13.9 in

• 18 feet

• 12 feet

• 14 feet

• 2 feet

• 32 ft.

• 16 ft.

• 23 ft.

• 8 ft.

Which of the following could be the AREAS of the three squares below?

Quinton typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below?

• 73 yards

• 20 yards

• 53 yards

• 126 yards

Joey drives 5 miles East of house and then 12 miles South. The car then takes a diagonal path home. How many miles did the car drive to go back home?

• 7 miles

• 10.9 miles

• 13 miles

• 17 miles

Ranee is creating a diagram to prove that a certain triangle is a right triangle. In her diagram she uses three white squares. Which diagram could be the one that Ranee is creating?

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