Question

What sequence of Transformations will verify that triangle EFG and triangle E'F'G are congrunet

Answer 1

The triangle EFG is rotated 180 degrees to be transformed in the triangle E'F'G'

Its reflected around a line ,

this line is y= x.

The line y= x passes exactly between the two triangles.

The line is half distance between the triangles

So both triangles are at the same distance to the line y=x.

So ,the triangle EFG was just rotated 180 degrees around the origin. BUT was not reflected.