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Triangle Congruence Proofs: SSS, SAS, and HL Explained

Learn how to prove triangles congruent using shortcuts like SSS, SAS, and HL methods. Create flowcharts to organize information effectively with your team. Identify hidden facts and state reasons when proving triangle properties.

kathleen-hensley
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Triangle Congruence Proofs: SSS, SAS, and HL Explained

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  1. 4.7 How Do You Prove Triangles Congruent? Pg. 28 SSS≅, SAS≅, and HL≅Proofs

  2. 4.7 – How Do You Prove Triangles Congruent? SSS≅, SAS≅,and HL≅Proofs Now that you have shortcuts for establishing triangle congruence, how can you organize information in a flowchart to show that triangles are congruent? Consider this as you work today with your team.

  3. 4.48 – HIDDEN STATEMENTS Sometimes a proof needs a statement that is not given. Find each hidden fact in the pictures below. alternate interior angles vertical angles reflexive property

  4. 4.49 – STATE YOUR REASON For each picture below, determine if the triangles are similar, congruent, or neither. If they are, write a similarity or congruence statement. Then state your reason. Be sure to mark any hidden facts in the picture. If they are not, explain why not.

  5. SSS SAS

  6. ASA AAS

  7. AAS ASS….. Not congruent

  8. SAS AA~

  9. AAS HL

  10. 4.50 – TRIANGLE CONGRUENCE Complete the following proofs. Make sure you MARK your picture!

  11. b.

  12. c.

  13. d.

  14. e.

  15. f.

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