Distance

Midpoint

Distance Word Problems

Midpoint Word Problems

What is the distance formula?

d=√(x₂-x₁)²+(y₂-y₁)²

What is the midpoint formula?

M(((x₁+x₂)/2),((y₁+y₂)/2)))

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

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)

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

7

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)

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

2

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)

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

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

(-.5,-1)

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

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)

Classify triangle ABC as scalene, isosceles, or equilateral A(3,1), B(4,2), C(1,3)

scalene

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

(-1.5,-1)

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

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)

Classify triangle ABC as scalene, isosceles, or equilateral
A(-4,3), B(4,3), C(0,4)

isosceles

Write an equation for the perpendicular bisector of the line segment joining A(-1, 4) and B(5, 2)

y=3x-3

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 or 265.38

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)

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