Distance on the Coordinate Grid Using Pythagorean Theorem

Find the distance between Point A and Point B.

• 3 units

• 4 units

• 5 units

• 6 units

Find the perimeter of quadrilateral ABCD. Round to the nearest tenth.

• 11.3 units

• 14.6 units

• 17.4 units

• 56.0 units

To find the distance between any two non-vertical or non-horizontal points, M and N, on the coordinate plane you can draw a right triangle with MN as its hypotenuse, and then use the Pythagorean Theorem to find the length of MN.

• True

• False

• True and False

• I don't have a clue

An equilateral triangle on the coordinate plane has vertices at (–1, 2) and (4, 2). What are the possible coordinates of the third vertex rounded to the nearest tenth? Select all that apply.

• (–1.5, 6.3)

• (1.5, –2.3)

• (1.5, 6.3)

• (1.5, 6.6)

• (1.5, –6.6)

Suppose your school is located 1.2 miles south of your home. The mall is located 3.2 miles west of the school. What is the shortest distance between your home and the mall? Round to the nearest hundredth.

• 3.41 miles

• 3.42 miles

• 3.43 miles

• 3.44 miles

Find the distance between (1, 9) and (1, 3)

• 4

• 6

• 7

• 12

Find the distance between (-3, 4) and (-3, -8)

• 4

• 32

• 6

• 12

Find the distance between (2, 7) and (-6, 7)

• 8

• 4

• 7

• 2

Find the distance between (12, 15) and (-6, 15)

• 6

• 12

• 18

• 15

Find the distance between (-19, 37) and (12, 37)

• 17

• 7

• -31

• 31