4.3 Triangle Congruence by ASA and AAS

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Presentation transcript:

4.3 Triangle Congruence by ASA and AAS 5/16/2019 Confidential

5/16/2019 Confidential

ASA Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. H K M O N J

Included Sides An included side is very similar to included angles, however an included side is now a side that is stuck between two specific angles or you can think of it as a side that helps create both indicated angles. N O M

R T S 5/16/2019 Confidential

proof A C D B Given: DB ┴ AC, and BD bisects angle ADC Prove:

5/16/2019 Confidential

Nonincluded Sides One of the sides that is not between the two defined angles. R S T