Congruences between Two Triangles

Congruences between Two Triangles - Congruences between Two...

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1 Congruences between Two Triangles "Congruence" is a relationship that two geometric objects of the same type may or may not have. Two segments ± ² ² and ³´ ²²²² are congruent segments ( ± ² ² µµ¶µµµ³´ ² ² µ ) if they have the same measure (that is, the same length). Two angles ·µ± ³ and ·µ¸´¹ are congruent angles ( ·µ± ³µµ ¶ µµ·µ¸´¹µ ) if they have the same measure, that is, º»·µ± ³µ¼µ¶ µµº»·µ¸´¹¼ . Two circles are congruent circles if their radii have the same length. Two triangles are congruent triangles if there exists a congruence between them (see below). Notation : Suppose A, B, C, D, E, and F are points in a plane. The notation " ABC DEF" represents the following correspondences between points: A D, B E, C F . (" " means "corresponds to. ..") When A, B and C and D, E, and F are vertices of two triangles, respectively, then the notation ∆ABC ∆ LGK also represents a correspondence between the
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This note was uploaded on 11/02/2010 for the course MATH modern geo taught by Professor Shirley during the Spring '10 term at University of Texas at Austin.

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Congruences between Two Triangles - Congruences between Two...

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