Distance
Midpoint
Distance Word Problems
Midpoint Word Problems
100

What is the distance formula?

d=√(x₂-x₁)²+(y₂-y₁)²

100

What is the midpoint formula?

M(((x₁+x₂)/2),((y₁+y₂)/2)))

100

Amy, and Ella are playing jump rope. Amy is standing at (5,6) and Ella is standing at (2,5). What is the distance between them?

√10 or 3.16

100

Cindy was standing in between KFC and McDonalds. If McDonald is located at (4,8) and KFC is located at (-10,-8), where is Cindy located at?

(-3,0)

200

What is the distance between (8,11) and (8,4)?

7

200

Given the points A and B where A is at coordinates ( 2,-5 ) and B is at coordinates ( -3,-7 ) on the line segment AB, find the midpoint of AB.

(-.5,-6)

200

The teacher stands at (4,2) and a student is sitting at (2,2). What is the distance between the teacher and students?

2

200

Sharon is standing in a road when two cars from the same distance is driving towards her. One of the car is located at (-1, 3) and the other car is at (11, 13). Where is Sharon standing?

(5,8)

300

Find the length of the line whose endpoints are at (-3, 4) and (-1, 7).

√13 or 3.61

300

Find the midpoint of the line segment AB where point A is at ( 0, 2 ) and point B is at ( -1, - 4 ).

(-.5,-1)

300

Tommy's phone is ringing in the bedroom,(4,7), but he is in the living room,(8,2). What is the distance Tommy needs to go to pick up his phone?

√41 or 6.4

300

Henry just got out of school and he can either go to the library or to the mall. If the two places are the same distance from the school, the mall is at (9,2) and the library is at (-3,6), where is the school located at?

(3, 4)

400

Given the points A and B where A is at coordinates ( 4,-2 ) and B is at coordinates ( -1,5 ) what is the length of the line?

√74 or 8.60

400

Find the midpoint of the line segment joining the points ( 1, - 4 ) and ( - 4, 2 )

(-1.5,-1)

400

If Jimmy wants to run from his house at (7,-3) to his girlfriends house at (12, 2), how far will Jimmy have to run?

√50 or 7.07

400

Tommy is at Disneyland taking pictures with the characters. If SpongeBob is at (-8,3) and Mickey Mouse is at (2,-5), and Tommy is sitting between them, where is Tommy located at?

(-3,-1)

500

Given the points A and B where A is at coordinates ( 2,-5 ) and B is at coordinates ( -3,-7 ) on the line segment AB, find the length of AB.

√29 or 5.39

500

What is the midpoint of a segment with endpoints A(-1, 4) and B(5, 2)?

(2, 3)

500

A skydiver lands at (-150, 30). A second skydiver lands at (45, -150). How far apart are the two skydivers?

√70425 or 265.38

500

Lily is deciding between dessert or Teaway. Teaway is at (5,6) and the dessert house is at (9,-3). If Lily is standing in between them, where is she?

(7,1.5)