Distance
Distance Word Problems
Midpoint Word Problems
Definitions
100
What is the distance formula?
d=√(x₂-x₁)²+(y₂-y₁)²
100

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

What is √10 or 3.16?

100

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

What is (-3,0)?

100

Line segments AB + BC = Line segment AC

What is the segment addition postulate?

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

Mr. Berkemeier stands at (4,2) and  Skylar is sitting at (2,2). What is the distance between the teacher and Skylar?

What is 2?

200

Audrey 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?

What is (11,13)?

200

Angle ABD + Angle CBD = Angle ABC

What is the angle addition postulate?

300

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

√29 or 5.39

300

Brooklyn's phone is ringing in the classroom,(4,7), but she is in the cafeteria,(8,2). What is the distance Brooklyn needs to go to pick up her phone?

What is √41 or 6.4?

300

Carlos just got out of school, and he can either go to the library or to the mall. If the two places are equidistant from the school, the mall is at (9,2) and the school is at (3,4), where is the library located at?

What is (-3,6)?

300

A ray that cuts an angle into two congruent ones

What is an angle bisector?

400

Distance between (-3.-1) and (3,4)

What is √61? or 7.81

400

To get from his home to his girlfriend's home, Cayden 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 Cayden's home and his girlfriend's home?

What is √20 or 4.47?

400

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

What is (-3,-1)

400

A line that cuts a line segment in exactly half

What is a segment bisector?

500

Distance of (-2,-8) and (3,4)

What is 13?

500

A skydiver Clayton lands 150 yards west and 30 yards north of a target. A second skydiver Cole 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

500

Carolina is deciding between Dennis' or Chili's. Dennis' is at (5,6) and the Chili's is at (9,-3). If Carolina is standing in between them, where is she?

What is (7,1.5)?

500

A tool without measurements that can be used to draw straight lines? 

What is a straightedge?