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Congruent Polygons have Congruent corresponding angles Congruent corresponding sides If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. triangle: GHF = (equal to) triangle: PQR by: SSS triangle: BCA = (equal to) triangle: FDE by: SAS triangle: HGB = (equal to) triangle: NKP by: ASA triangle: CDM = (equal to) triangle: XGT by: AAS What does CPCTC stand for? Corresponding Parts of Congruent Triangles are Congruent The legs of an isosceles triangle are the congruent sides. The base of an isosceles triangle is the noncongruent side The vertex angle of an isosceles triangle is formed by the two congruent sides The base angles of an isosceles triangle have the base as a common side Isosceles Triangle Theorem: If two sides of a triangle are congruent, then the angles opposite those sides are congruent Converse of Isosceles Triangle Theorem: If two angles of a triangle are congruent, then the sides opposite the angles are congruent The bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base A corollary is a statement that follows immediately from a theorem If a triangle is equilateral, then the triangle is equiangular If a triangle is equiangular, then the triangle is equilateral The hypotenuse of a right triangle is the side opposite the right angle and the longest side The legs of a right triangle are the sides that make up the right angle triangle: PQR = (equal to) triangle: XYZ by: HL