quiz Tell whether the pair of triangles is congruent or not and why
You can not prove Triangle congruent with Side-Side- Angle (SSA) and Angle-Angle-Angle (AAA)
*Use Isosceles and Equilateral Triangles Section 4.7
Triangles Isosceles – a triangle with at least two congruent sides. Vertex angle Base leg Base angle
Equilateral – a triangle with 3 congruent sides Equiangular - a triangle with 3 congruent angles
Base Angles Theorem If two sides of a triangle are congruent, then the angles opposite them are congruent.
Converse of Base Angles Theorem If two angles of a triangle are congruent, then the sides opposite them are congruent.
Corollaries (a statement that can be proved easily using the theorem) Corollary to the Converse of Base Angles Theorem: If a triangle is equiangular, then it is equilateral. Corollary to the Base Angles Theorem: If a triangle is equilateral, then it is equiangular.
Example1: Find x and y.
Homework 4.7 pg #7-17, 23-25