Question

How does the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions?

Answer 1

Answer with explanation:

A rigid motion is a transformation of a figure which does not change shape and the size of the original figure.

i.e. It preserves the side-length and measure of interior angles of a figure.

Thus , if we use rigid motions to transform a triangle then all the corresponding side-lengths and  measure of interior angles of a figure remains exactly same.

That' how ,the criteria for triangle congruence (ASA, SAS, and SSS) directly follow from the definition of congruence in terms of rigid motions.

Answer 2

Congruence triangles have the same size and shape
Rigid motion keeps the same distance between the points that are transformed
A rigid motion can be sliding,rotating, or flipping
SAS-2 corresponding sides+2 corresponding angles that are congruent.
hopefully this helps :3