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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)