4.8 Isosceles and Equilateral Triangles
Definitions:
Legs - Congruent sides of an isosceles triangle
Vertex Angle - The angle formed by the legs
Base Angles - the two angles that have the base as a side
Theorems/Corollaries:
Isosceles Triangle Theorem - If two sides of a triangles are congruent, then the angle opposite the sides are congruent
Converse of Isosceles Triangle Theorem - If two angles of a triangle are congruent, then the sides opposite those angles are congruent
Equilateral Triangle Corollary - If a triangle is equilateral, then it is equiangular Equiangular Triangle Corollary - If a triangle is equiangular, then it is equilateral
Examples:
Definitions:
Legs - Congruent sides of an isosceles triangle
Vertex Angle - The angle formed by the legs
Base Angles - the two angles that have the base as a side
Theorems/Corollaries:
Isosceles Triangle Theorem - If two sides of a triangles are congruent, then the angle opposite the sides are congruent
Converse of Isosceles Triangle Theorem - If two angles of a triangle are congruent, then the sides opposite those angles are congruent
Equilateral Triangle Corollary - If a triangle is equilateral, then it is equiangular Equiangular Triangle Corollary - If a triangle is equiangular, then it is equilateral
Examples: