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Transcript
GEOMETRY SECTION 4.4 NOTES – PROVING TRIANGLES CONGRUENT (ASA and AAS) Learning Targets: -Prove two triangles congruent using ASA - Prove two triangles congruent using AAS ***Proof Hints*** Ways to prove triangles congruent Angle – Side – Angle If two angles and the included side of one triangle are congruent to two angles and the included side of second triangle, Then the two triangles are congruent. B D A C E 1. Given: AD || EC , BD BC Prove: ABD EBC Reason n C A B D E Angle – Angle – Side 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. B A D E C 2. Given: B C , D F , M is the midpoint of DF Prove: BDM CFM Statement Reason n C B D F M 3. Given: AB AD, DE AD ABC DEC E A C B Reason n BC EC Prove: Statement D