Distance
Midpoint
Endpoint
Distance Word Problems
Midpoint Word Problems
100

What is the distance formula

√(x2-x1)2(y2-y1)2

100
What is the midpoint formula?
(x+x⁄2,y+y⁄2)
100
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (2,-7), Midpoint: (8,2)
(14,11)
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
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.
(-1⁄2,-6)
200
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (0,2), Midpoint: (9,6)
(18,10)
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)
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 ).
(-1⁄2,-1)
300
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (8, -7), Midpoint: (-5, -5)
(-18, -3)
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
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)
400

(T or F) It doesn’t matter which point you call (x1, y1) and which you call (x2, y2).

True

400
Find the midpoint of the line segment joining the points ( 1, - 4 ) and ( - 4, 2 )
(-3⁄2,-1)
400
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (2.8,7.1), Midpoint: (0.2, -4.3)
(-2.4, -15.7)
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
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

The distance formulas for points in rectangular coordinates are based on the ________ theorem.

Pythagorean theorem

500

Find the missing value of h in the points (5, 7) and (1, h) if its midpoint is at (3, –2).

h = -11

500
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (7⁄4,-7⁄4), Midpoint: (1⁄2,-9⁄10)
(-3⁄4, -1⁄20)
500
A skydiver lands 150 yards west and 30 yards north of a target. A second skydiver lands 45 yards east and 150 yards south of the same target. How far from each other did the two skydivers land?
√70425
500
Lily and John want to either meet for Chinese or Italian. They decide to meet at a coffee shop half way between the two restaurants. To get to the Chinese restaurant Lily will have to walk 11 blocks north and 5 blocks west. To get to the Italian restaurant, she will have to walk 3 blocks east and 7 blocks south. Assuming Lily starts at the origin, where is the coffee shop?
(-1,2)
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