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4.5 – Prove Triangles Congruent by ASA and AAS

4.5 – Prove Triangles Congruent by ASA and AAS. In a polygon, the side connecting the vertices of two angles is the included side. Given two angle measures and the length of the included side, you can only make one triangle. So, all triangles with those measurements are congruent.

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4.5 – Prove Triangles Congruent by ASA and AAS

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  1. 4.5 – Prove Triangles Congruent by ASA and AAS In a polygon, the side connecting the vertices of two angles is the included side. Given two angle measures and the length of the included side, you can only make one triangle. So, all triangles with those measurements are congruent.

  2. 4.5 – Prove Triangles Congruent by ASA and AAS

  3. 4.5 – Prove Triangles Congruent by ASA and AAS

  4. 4.5 – Prove Triangles Congruent by ASA and AAS Can the triangles be proven congruent with the information given in the diagram? If so, state the postulate or theorem you would use

  5. 4.5 – Prove Triangles Congruent by ASA and AAS

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

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

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

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

  10. 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

  11. 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

  12. 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

  13. 4.5 – Prove Triangles Congruent by ASA and AAS Write a proof.

  14. 4.5 – Prove Triangles Congruent by ASA and AAS Write a proof.

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