Midpoint and Distance Word Problems

The distance between two points is 15 units. If one point is (-4, 6), find the coordinates of the other point if the midpoint is (-2, 3).

• (0, -6)

• (10, 8)

• (-8, 0)

• (4, 12)

Find the distance between the points (2, 3) and (-5, -2).

• sqrt(62)

• sqrt(85)

• sqrt(74)

• sqrt(49)

On a map, Julie’s house is located at (−2, 5) and Jimmy’s house is at (6, −2). How long is the direct path from Julie’s house to Jimmy’s house?

• 10.63

• 15

• 12.7

• 113

The midpoint of 𝑅𝑆̅̅̅̅ is point 𝑀( 2, 5). If the coordinated of 𝑅 are (−3, −6), what are the coordinates of 𝑆?

• (7 , 18)

• (8 , 16)

• (7 , 16)

• (8 , 18)

The Riley and Brown families decided to go to a concert together. The Riley’s live 5 miles west and 2 miles north of the concert. The Browns live 3 miles east and 7 miles south. How far apart do they live?

• 145

• 13.15

• 12.04

• 17.05

A command center learns of an enemy patrol is located 7 miles east and 11 miles north of their position. If the commands attack helicopter is located 1 mile east and 3 miles north of the center. What is the shortest distance the helicopter can travel to get to the enemy patrol?

• 5.29

• 10

• 100

• 28

On a map’s coordinate grid, Walt City is located at (−1, −3) and Koshville is located at (4, 9). How long is the train’s route if it travels along a straight line from Walt City to Koshville? ( One map unit equals one mile.)

• 11.54

• 18.2

• 12

• 13

Coach Alvarado drew his football team’s next play on the coordinate grid. He placed Kaleem at (1, 3). He will be passing the ball to Jeremy at (−6, 3). What is the distance, of the pass from Kaleem to Jeremy?

• 7

• 49

• 7.03

• 50

Fred is at Bojangles which is 2 miles west and 4 miles north of the school. Barney is at Pelicans which is 4 miles east and six miles south of the school. How far apart are Fred and Barney?

• 11.66

• 136

• 64

• 8.25

What is the distance between the following points?

• 5

• 7