Pythagorean Theorem on the Grid

• 18 feet

• 12 feet

• 14 feet

• 2 feet

• 32 ft.

• 16 ft.

• 23 ft.

• 8 ft.

The graph shows the locations of an eagle's nest, a tree, and a pond. On the coordinate grid, each unit represents a mile.

Which distance best represents the shortest distance from the pond to the tree? Round to the nearest tenth of a mile.

• 13.7 miles

• 15.2 miles

• 16.2 miles

• 21.0 miles

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

What is the value of c?

• 7

• 10.9

• 13

• 17

Which expression represents the distance between points A and C?

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

Do the segment lengths 15, 12, and 9 form a right triangle?

• Yes
• No
• Maybe
• Pythagoras

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Find the distance between J and K.

• 8.2
• 7.7
• 9
• 10.2