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Lesson 4-4 Proving Triangles Congruent-SSS and SAS

Learn how to prove triangles congruent using Side-Side-Side (SSS) and Side-Angle-Side (SAS) methods with examples. Practice missing information flowproof and two-column proofs.

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Lesson 4-4 Proving Triangles Congruent-SSS and SAS

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  1. Lesson 4-4 Proving Triangles Congruent-SSS and SAS

  2. Included angle-The Angle formed by two adjacent sides of a polygon. Vocabulary

  3. Concept 1

  4. ___ ___ ___ ___ Given: QU AD, QD  AU Use SSS to Prove Triangles Congruent Prove: ΔQUD ΔADU Example 1

  5. Which information is missing from the flowproof?Given: AC ABD is the midpoint of BC.Prove: ΔADC  ΔADB ___ ___ ___ ___ A.AC  AC B.AB  AB C.AD  AD D.CB  BC ___ ___ ___ ___ ___ ___ Example 1 CYP

  6. Concept 2

  7. ENTOMOLOGY The wings of one type of moth form two triangles. Write a two-column proof to prove that ΔFEG ΔHIG if EI FH, and G is the midpoint of both EI and FH. Use SAS to Prove Triangles are Congruent Example 3

  8. The two-column proof is shown to prove that ΔABG ΔCGB if ABG  CGB and AB  CG. Choose the best reason to fill in the blank. Proof: Statements Reasons 1. 1. Given 2. ? Property 2. 3. SSS 3.ΔABGΔCGB A. Reflexive B. Symmetric C. Transitive D. Substitution Example 3

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