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1. Identify the postulate or theorem that proves the two triangles are congruent. not congruent, not enough info ∡B≅∡D, thus ∆'s ≅ by AAA ∆≅ thm. AC ≅ CA, thus ∆'s≅ by ASA ∆ ≅ thm. AB ≅CD, thus ∆'s ≅ by AAS ∆ ≅ thm. A B D C 2. What additional information do you need to know in order to prove ∆ABC ≅ ∆EBD by ASA? ∡BDE ≅ ∡BCA ∡A ≅ ∡C AC ≅ ED ∡B ≅ ∡B A D B E C 3. Identify the postulate or theorem that proves the two triangles are congruent. A not congruent, not enough info ∆'s ≅ by AAA ∆≅ thm. ∆'s≅ by ASA ∆ ≅ thm. ∆'s ≅ by SAS ∆ ≅ thm. ▼ B E ▼ D C 4. Identify the postulate or theorem that proves the two triangles are congruent. not congruent, not enough info ∆'s ≅ by HL ∆≅ thm. AC ≅ AC, thus ∆'s≅ by ASA ∆ ≅ thm. ∆'s ≅ by SAS ∆ ≅ thm. A D B C 5. Identify the postulate or theorem that proves the two triangles are congruent. A not congruent, not enough info ∆'s ≅ by AAA ∆≅ thm. ∆'s≅ by SAS ∆ ≅ thm. ∆'s ≅ by ASA ∆ ≅ thm. ▼ B E ▼ D C 6. Match the theorem that proves the ∆'s are ≅. A. SSS B. SAS C. AAS D. ASA E. HL ∆'s ≅ Choose from: use capital letters ∆'s ≅ ∆'s ≅ 7. True or False. ΔABC ≅ ΔDBC by the HL ≅ theorem. TRUE FALSE A C B D 8. True or False. ΔABC ≅ ΔDBC by the ASA ≅ theorem. TRUE FALSE A 32∘ C B 32∘ D 9. True or False. ΔABD ≅ ΔFEC by the AAS ≅ theorem. TRUE FALSE A C E B D F 10. Drag the correct congruence theorem to the image that shows how it would be used to prove the triangles congruent. For the one that is NOT used, place it next to the words, "not used". c) a) SAS ≅ theorem ? ASA ≅ theorem ? b) d) HL ≅ theorem ? AAS ≅ theorem ? "not used" |