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Distance
Midpoint
Distance Word Problems
Midpoint Word Problems
Transformations
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? (nearest tenth)

√10 or 3.2

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

Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.

What is (7,16)?

200
What is the distance between (8,11) and (8,4)?
7
200

Given A(2,-5) and B(-4,-7), find the midpoint of AB.

(-1,-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

Find the new coordinates of (3,-2) after you reflect the point over the x-axis.

What is (3,2)?

300

Given A( 2, -5 ) and B( -3, -7 ), find the length of AB.

√29 or 5.39

300

Find the midpoint of AB with A( 0, 2 ) and B( -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

Write the point (4,1) after it is reflected over the x-axis.

What is (4,-1)?

400

Given (−4, -2) and (6, 7). How long is the distance?

√181 or 13.5

400

Find the midpoint of 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? (nearest tenth)

√20 or 4.5

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

Find the new coordinates of (-3,8) if you translate the point 5 units right and 7 units down.

What is (2,1)?

500

Find the length of the segment with endpoints (-5, -3) and (-3, -1).

√8 or 2.8

500

Find the midpoint of A(-1, 4) and B(5, -2) and give it a name.

M(2, 1)

500

A skydiver lands 60 yards west and 30 yards north of a target. A second skydiver lands 45 yards east and 90 yards south of the same target. How far from each other did the two skydivers land? (nearest tenth)

√9225 or 96.0

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

Find the new coordinates of (-5,-3) if you translate the point 9 units left and 5 units down. Then reflected over the y-axis.

What is (14,-8)?