Coordinate Proofs
Proofs
a. Prove if the triangles are equilateral, isosceles, or scalene. b. Prove if the top and bottom triangles are congruent.
What are the length, slope, and midpoint of each side of the triangle?
What are the coordinates of point B, and the lengths of the segments in the triangles?
Given A(0,0), B(2x,2y), C(x,2y), D(x,0), and E(x,y)
Prove ADEBCE
Real world
You and your friends are camping in the woods. You decide to play a modified game of capture the flag. The first team to bring the other's flag back to camp wins. Team A plants their flag at a point that is 500 meters east and 1200 meters north of the campsite. Team B plants their flag at a point that is 1000 meters east of the campsite. Based solely on distance which team has the advantage? Why? How could the advantage be mitigated?