DO NOW Identify the corresponding parts using tick marks. Then state which polygons are congruent. 1.2.

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Proving Triangles Congruent

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Presentation transcript:

DO NOW Identify the corresponding parts using tick marks. Then state which polygons are congruent. 1.2.

LET’S CHECK WHAT WE KNOW… Using the homework key, check your answers with a partner. Then check your knowledge using the practice sheet. Answers will be posted shortly!!

PROVING TRIANGLES CONGRUENT We can prove that triangles are congruent without having all six corresponding parts congruent! All we need are 3!!!

WAYS TO PROVE TRIANGLES CONGRUENT Side-Side-Side (SSS): if all corresponding sides are congruent Side-Angle-Side (SAS): if two corresponding sides and the corresponding angle between those sides are congruent Angle-Side-Angle (ASA): if two corresponding angles and the corresponding side between those angles are congruent Angle-Angle-Side (AAS): if two corresponding angles and the side that is not between those angles are congruent Hypotenuse-Leg (HL): if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle

LET’S PRACTICE… First, basic proofs, then two-column proofs!