ASA AND AAS CONGRUENCE Section 4.5. Angle-Side-Angle (ASA) Congruence Postulate  If two angles and the included side of one triangle are congruent to.

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Presentation transcript:

ASA AND AAS CONGRUENCE Section 4.5

Angle-Side-Angle (ASA) Congruence Postulate  If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

Angle-Angle-Side (AAS) Congruence Theorem  If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

GUIDED PRACTICE SOLUTION 1. Given S U The vertical angles are congruent RTS UTV Given RS UV STATEMENTS REASONS In the diagram at the right, what postulate or theorem can you use to prove that RST VUT ? Explain.

GUIDED PRACTICE Therefore are congruent because vertical angles are congruent so two pairs of angles and a pair of non included side are congruent. The triangle are congruent by AAS Congruence Theorem. RTS UTV ANSWER

Quick reference on pg. 252  These are the only 5 ways to prove triangles are congruent  There is no SSA or AAA.

Assignment  p. 252: 3-10, 14-17