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Triangle Congruence by ASA and AAS 4-3 Objective: To prove two triangles congruent using the ASA Postulate and the AAS Theorem.

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Presentation on theme: "Triangle Congruence by ASA and AAS 4-3 Objective: To prove two triangles congruent using the ASA Postulate and the AAS Theorem."— Presentation transcript:

1 Triangle Congruence by ASA and AAS 4-3 Objective: To prove two triangles congruent using the ASA Postulate and the AAS Theorem.

2 What works and what doesn’t? Side-Angle-Side (SAS) Side-Side-Side (SSS) Side-Angle-Angle (SAA)Angle-Side-Angle (ASA) Side-Side-Angle (SSA)Angle-Angle-Angle (AAA) YES NO (naughty donkey)

3 Angle-Angle-Angle (AAA) ∆MNO∆PQR Is this statement true?

4

5 Which two triangles are congruent by ASA? Explain. Do congruent sides have congruence markings (ticks)?

6 Angle-Angle-Side (AAS) Deductive Reasoning AAS Conjecture (and ASA) ∆ABC ∆XYZ Third angle Conjecture Given ReasonStatement B A C Y X Z

7 What works and what doesn’t? Side-Angle-Side (SAS) Side-Side-Side (SSS) Side-Angle-Angle (SAA)Angle-Side-Angle (ASA) Side-Side-Angle (SSA) Angle-Angle-Angle (AAA) YES NO (naughty donkey) YES NO 4-3 p.238: 1-4, 6, 10, 12, 13, 15-18 [Write entire proof in two columns]


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