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Transcript
Geometry 4.7 BIG IDEA: USE ISOSCELES AND EQUILATERAL TRIANGLES Isosceles Triangle Vertex Leg Leg Base Angles Base Theorem 4.7 Base Angles Theorem IF TWO SIDES OF A TRIANGLE ARE CONGRUENT, THEN THE ANGLES OPPOSITE TO THEM ARE CONGRUENT A B C Theorem 4.8 Converse of Base Angles Theorem IF TWO ANGLES OF A TRIANGLE ARE CONGRUENT, THEN THE SIDES OPPOSITE THEM ARE CONGRUENT A B C Corollary to the Base Angles Theorem IF A TRIANGLE IS EQUILATERAL , THEN IT IS EQUIANGULAR B A C Corollary to the Converse of Base Angles Theorem IF A TRIANGLE IS EQUIANGULAR, THEN IT IS EQUILATERAL B A C Example: Name two congruent angles. F E D Example: Complete the statement. HG @ HK Ð? @ Ð? 1. If 2. If ÐKHJ ?@? H , then G @ ÐKJH, then K J Example: Find the measure of ST. U 5cm S T Example: Find the measures of ÐP,ÐQ,ÐR P Q R Example: Solve for x. x +3 8
