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Congruent Triangles Congruent Polygons Corresponding Parts of Congruent Triangles are Congruent Third Angles Theorem • If two angles of a triangle are congruent, then the third angle is congruent. Side-Side-Side Side-Angle-Side Angle-Side-Angle Angle-Angle-Side Isosceles Triangle • A triangle where two sides are congruent Legs • The congruent sides of an isosceles triangle Base • The third side of an isosceles triangle Vertex angle • The angle formed by the two congruent legs in an isosceles triangle Base Angles • Two angles connected to the base of an isosceles triangle • They are congruent 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 those angles are congruent Isosceles Vertex Bisector Theorem • If a line bisects the vertex angle of an isosceles triangle, then the line is also the perpendicular bisector of the base. Equilateral Triangle • A triangle where all three sides are the same length. Equilateral Triangle Theorem • If a triangle is equilateral, then it’s also equiangular (all angles are congruent) Equiangular Triangle Theorem • If a triangle is equiangular, then it’s also equilateral (all sides are congruent)