Congruence and Triangles

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Presentation transcript:

Congruence and Triangles Section 4-2 Congruence and Triangles

Congruent geometric figures Have exactly the same size and same shape.

Corresponding angles are congruent! When two figures are congruent… Corresponding angles are congruent! Corresponding sides are congruent!

A B C P R Q

Third angles theorem If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.

Reflexive property of congruent triangles Every triangle is congruent to itself

Symmetric property of congruent triangles If , then

TRANSITIVE property of congruent triangles If and , then