Zari and Taye are training for track season. They each go on training runs from their homes.
Zari’s house is located at point A and Taye’s house is located at point A’ on the coordinate plane shown below.
Each unit on the coordinate plane corresponds to one mile.
On the first day of training, Zari runs 2 miles north, then 4 miles east, and then back home via the shortest route. Taye runs 2 miles west, then 4 miles south, and then home again via the shortest route. Draw their routes on the coordinate plane above. Use a straightedge for accuracy. Create a proof that demonstrates that the two triangles formed by their routes are congruent. Your proof needs to include three pairs of congruent properties of the triangles followed by a triangle congruence statement. Show if congruent by ASA, SAS, or SSS.
