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Topic: U7L6 Proving Congruence--ASA and AAS

Topic: U7L6 Proving Congruence--ASA and AAS. EQ: What are ASA and AAS and how do I use them in proofs?. Angle-Side-Angle (ASA) Congruence Postulate. B.

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Topic: U7L6 Proving Congruence--ASA and AAS

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  1. Topic: U7L6 Proving Congruence--ASA and AAS EQ: What are ASA and AAS and how do I use them in proofs?

  2. Angle-Side-Angle (ASA) Congruence Postulate B 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. If Angle Side Angle Then C A S T R

  3. EXAMPLE 1 Use ASA Decide whether the congruence statement is true. Explain your reasoning. SOLUTION (A) (S) (A) So, by ASA,

  4. EXAMPLE 2 Use ASA Decide whether the congruence statement is true. Explain your reasoning.

  5. Angle-Angle-Side (AAS) Congruence Postulate B If two angles and the non-included side of one triangle are congruent to two angles and the non-included side of a second triangle, then the two triangles are congruent. If Angle Angle Side Then C A S T R

  6. EXAMPLE 3 Use AAS Decide whether the congruence statement is true. Explain your reasoning. SOLUTION (A) (A) (S) So, by AAS,

  7. EXAMPLE 4 Use AAS Decide whether the congruence statement is true. Explain your reasoning.

  8. EXAMPLE 5 Use ASA or AAS State the third congruence that must be given to prove that using the indicated postulate. B E Given: Use the ASA Congruence Postulate. C A F D

  9. EXAMPLE 6 Use ASA or AAS State the third congruence that must be given to prove that using the indicated postulate. B E Given: Use the ASA Congruence Postulate. C A F D

  10. EXAMPLE 7 Use ASA or AAS State the third congruence that must be given to prove that using the indicated postulate. B E Given: Use the AAS Congruence Postulate. C A F D

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