Distance and Midpoint Word Problems

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

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

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

The segment bisector is ​ (a)  

The equation for JK is ​ (b)  

JK=​ (c)  

• line l

• 3x+15=8x+25

• 18

• 9

• -2

• point M

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

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

The midpoint of a line segment is (1, -2) and the distance between the two endpoints is 8 units. Find the coordinates of the endpoints.

• (5, 0), (-3, -4)

• (2, -3), (-1, -1)

• (0, -2), (2, -2)

• [(3, -1), (-1, -3)]

A line segment has endpoints at (-3, 2) and (5, -4). Find the coordinates of the midpoint.

• (1, -1)

• (-4, 3)

• (2, -3)

• (0, 0)