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1. Tell if and why the triangles are congruent. Not congruent, not enough info ∡A ≅ ∡C, thus ∆'s are ≅ by SAS ∆≅ Thm. BD ≅ BD, thus ∆'s are ≅, by SSS ∆≅ Thm. ∆'s are ≅ by the definition of ≅∆'s A B D C 2. Tell if and why the triangles are congruent. Not congruent, not enough info AB ≅ CB, thus ∆'s are ≅ by SSS ∆≅ Thm. BD ≅ BD, thus ∆'s are ≅, by SAS ∆≅ Thm. ∆'s are ≅ by the definition of ≅∆'s A B D C 3. Tell what the value x must be in order for the two triangles to be congruent by SSS ∆ ≅ Thm. 6x - 4 B x = A C 4x + 7 D 4. Tell if and how the two triangles are congruent. C A Not congruent, not enough info AC ≅ED, thus ∆'s are ≅ by SSS ∆≅ ∡ABC ≅∡EBD, thus ∆'s are ≅ by SAS ∆≅ B D E 5. Which additional information is needed to prove ΔABC ≅ ΔCDE by SAS Δ ≅ theorem? A C E B ∡B ≅ ∡D AB ∕∕ CD CB ≅ ED D 6. What additional information is needed to prove ΔABC ≅Δ EBD by SSS Δ ≅ theorem? B is the midpoint of CD AC ∕∕ ED C A B AC ≅ ED ∡CBA ≅ ∡DBE D E 7. Which congruence theorem or definition would you use to prove these triangles congruent? SSS Δ ≅ theorem W definition of ≅ Δ's S O SAS Δ ≅ theorem N 8. Which congruence theorem or definition would you use to prove ΔGIF and ΔTSF congruent if you know that F is the midpoint of both IS and GT ? SSS Δ ≅ theorem G I definition of ≅ Δ's F SAS Δ ≅ theorem T S 9. Could you use SSS or SAS to prove ΔSNO ≅ ΔOWS? W S YES NO O N 10. Tell if and how the two triangles are congruent by SSS. Not congruent by SSS. AB ≅ EB, thus ∆'s are ≅ by SSS ∆≅ AB ≅ EB and AC ≅ ED, thus ∆'s are ≅ by SSS ∆≅ C A B D E |