In this lesson, we learn that congruence can be defined in terms of the composition of rigid motions.

Geometry 3(A) describe and perform transformations of figures in a plane using coordinate notation;

Geometry 3(B) determine the image or pre-image of a given two-dimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both, including dilations where the center can be any point in the plane;

Geometry 3(C) identify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane

Geometry 6(C) apply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles