Pythagorean Theorem on the Grid

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs?

• 26.5 yards

• 10 yards

• 50 yards

• 46.7 yards

Find the distance between P and Q.

• 5 units

• 4 units

• 2.6 units

• 3 units

What is the area of the third square?

• 6.7 cm²

• 33.5 cm²

• 2025 cm²

• 45 cm²

What is the length of the hypotenuse?

• 33.5 cm

• 45 cm

• 6.7 cm

• 15 cm

If the area of the blue square is 25 in² and the area of the green square is 169 in², what is the area of the yellow square?

• 12 in²

• 144 in²

• 194 in²

• 13.9 in²

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

The coordinate grid shows the location of Carla’s home at point A and the location of the closest movie theater at point B.  Which whole number is the closest approximation for the shortest distance between Carla’s home and the movie theater?

• 7 units

• 8 units

• 9 units

• 12 units

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 42 miles

• 37 miles

• 40 miles

• A

• B

• C

• D