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Distance
Midpoint
Distance Word Problems
Midpoint Word Problems
Segment Midpoint
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)
100

T is the midpoint of SU. ST=8x+11 and TU=12x-1. Solve for x.

x=3

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 at (5,8) when two cars from the same distance is driving towards her. One of the car is located at (-1, 3), where is the other car located at?
(11,13)
200

R is the midpoint of QS. QR=5x-3 and RS=21-x. Solve for x. 

x=4

300
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
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 equidistances from the school, the mall is at (9,2) and the school is at (3,4), where is the library located at?
(-3,6)
300

G is the midpoint go FH. FG=11x-7 GH=3x+9. Find FG

FG=15

400

Find the distance of AB given A(-5, 3) and B(-8, 6). Round to the nearest tenth.

4.2

400
Find the midpoint of the line segment joining the points ( 1, - 4 ) and ( - 4, 2 )
(-1.5,-1)
400
To get from his home to his girlfriend's home, Jimmy must drive around the library. If he drives 3 miles north, then 4 miles east, and finally 5 miles south, what is the straight-line distance between Jimmy's home and his girlfriend's home?
√20 or 4.47
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)
400

Point B is on DC. DB=5x-26 and BC=2x+1. Find the length of DC.

DC=38

500

Find the distance of AB given A(-2, 4) and B(-8, -5). Round to the nearest tenth.

10.8

500

Find the midpoint of the segment with following endpoints A:(-2, 3) and B:(8, -2).

(3, 0.5)

500

A skydiver lands at coordinates (-5, 9). A second skydiver lands at coordinates (-2, 7). How far from each other did the two skydivers land? Round to the nearest tenth.

√13, or 7.4

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)
500

B is the midpoint of AC. AB=3x-1 and AC=8x-20. Solve for x.

x=9