Worksheet - Congruent Triangles

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25) 26) 27) Congruence: Congruence: Congruence: ∆ TUV ≅ ∆ ________ ∆ BCZ ≅ ∆ ________ ∆ EFG ≅ ∆ ________ Reason: Reason: Reason: Use the given information to mark the diagram appropriately. Name the triangle congruence (pay attention to proper correspondence when naming the triangles) and then identify the Theorem or Postulate (SSS, SAS, ASA, AAS, HL) that would be used to prove the triangles congruent. If the triangles cannot be proven congruent, state “not possible.” 28) 29) Given: CD ≅ AB; ∠B ≅ ∠D Given: JN ≅ LM ; NK ≅ MK; ∠ N ≅ ∠M Congruence: CDE ≅ ∆ ________ Congruence: ∆ ≅ ∆ ∆ JKN ________ Reason: Reason: 30) 31) Given: AC ≅ BD; AD ≅ BC Given: SQ and PR bisect each other Congruence: Congruence: ∆ ABC ≅ ∆ ________ ∆ RST ≅ ∆ ________ Reason: Reason:
32) Given: GH bisects ∠ EGF ; EG ≅ FG Congruence: ∆ EGH ≅ ∆ ________ Reason: Now choose one of the problems from 28-32 and create a flow chart proof. Then transform your flow chart proof into a 2 column proof. Your “given” will be the “Given” from the problem and your “prove” will be the “Congruence” statement you created.
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Worksheet - Congruent Triangles

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