Pythagorean Theorem Distance Between Two Points on Coordinate Grid

What is the Pythagorean Theorem?

• a² + b² = c²

• a + b = c

• a - b = c

• a² + b³ = c⁴

Which equation could be used to solve to find the length of the missing side of the right triangle?

• 2² + 5² = x²

• x² + 2² = 5²

• x² + 5² = 2²

• 2 + 5 = x

Which equation could be used to solve to find the length of the missing side of the right triangle?

• 2.7² + 6.5² = x²

• x² + 2.7² = 6.5²

• x² + 6.5² = 2.7²

• 2.7 + x = 6.5

Points G, H, and I are plotted on the coordinate grid.  How many units are between points G and H?

• 9 units

• 14 units

• 13 units

• 12 units

Find the distance between J and K.

• 8.2

• 7.7

• 9

• 10.2

What is the distance between point A and point B on the coordinate plane?

• 5

• 6

• 10

• 14

Find the distance between the 2 points. Round to the nearest hundredth.

• 3 

• 2.23

• 2.24

• 2.2

What is the distance between the two points?

• 6.3

• 6.5

• 6.7

• 16

Calculate the length of Mary's trip.

• 10 miles

• 14 miles

• 24 miles

• 28 miles

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