Unsure what kind of problem this is

[asdfsystema]

Homework Statement

Sydney places three markers at the points (0,0), (1,0) and (0,1) on a sheet of graph paper. She then repeatedly "jumps two of the markers over each other," meaning that the old and new positions are located at four evenly spaced points along a line, as shown. After a while two of the markers are located at (63,-2) and (-108,16). Where is the third?

Homework Equations

I'm not sure what equations I'm supposed to use

The Attempt at a Solution

I graphed it on my graph paper, I'm guessing it has to do something with the distance formula ?

Any tips to begin ?

 

[tiny-tim]

Sydney places three markers at the points (0,0), (1,0) and (0,1) on a sheet of graph paper. She then repeatedly "jumps two of the markers over each other," meaning that the old and new positions are located at four evenly spaced points along a line, as shown. After a while two of the markers are located at (63,-2) and (-108,16). Where is the third?

Hi asdfsystema!

Hint: this is a conservation problem …

when two of the markers move, what is conserved?