Given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Use the definition of congruence in terms of rigid motion to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
Prove theorems about lines and angles
Points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
Prove theorems about triangles.
Base angles of an isosceles triangle are congruent.
The segment joining two sides of a triangle is parallel to the third side and half the length.
The medians of a triangle meet at a point.
Use congruence for triangles to solve problems and prove relationships in Geometric figures