You are given two triangles. If you show that rigid motions can transform one triangle so that each side or angle of that triangle matches exactly with a corresponding side or angle of the other triangle, what have you proved? CLEAR CHECK If corresponding pairs of sides and corresponding pairs of angles of two triangles are not congruent, then the triangles are not congruent. If corresponding pairs of sides and corresponding pairs of angles of two triangles are congruent, then the triangles can be matched up exactly using rigid motions. If you can use rigid motions to show that two triangles are congruent, then corresponding pairs of sides and corresponding pairs of angles of these two triangles are congruent. Two triangles can be matched up exactly using rigid motions if and only if corresponding pairs of sides and corresponding pairs of angles are congruent