Geo 4.5: Congruent Triangles SSS & SAS
 1. Tell if and why the triangles are congruent.Not congruent, not enough info∡A ≅ ∡C, thus ∆'s are ≅ by SAS ∆≅ Thm.. ∆'s are ≅ by the definition of ≅∆'s ABDC 2. Tell if and why the triangles are congruent.Not congruent, not enough infoAB ≅ CB, thus ∆'s are ≅ by SSS ∆≅ Thm.BD ≅ BD, thus ∆'s are ≅, by SAS ∆≅ Thm. ∆'s are ≅ by the definition of ≅∆'s ABDC 3. Tell what the value x must be in order for the two triangles to be congruent by SSS ∆ ≅ Thm.6x - 4Bx = AC4x + 7D 4. Tell if and how the two triangles are congruent.CANot congruent, not enough infoAC ≅ED, thus ∆'s are ≅ by SSS ∆≅ ∡ABC ≅∡EBD, thus ∆'s are ≅ by SAS ∆≅BDE 5.  Which additional information is needed to prove       ΔABC ≅ ΔCDE by SAS Δ ≅ theorem?  ACEB∡B ≅ ∡DAB ∕∕ CDCB ≅ EDD 6.  What additional information is needed to prove     ΔABC ≅Δ EBD by SSS Δ ≅ theorem?B is the midpoint of CDAC ∕∕ EDCABAC ≅ ED∡CBA ≅ ∡DBEDE 7.  Which congruence theorem or definition would      you use to prove these triangles congruent?SSS Δ ≅ theoremWdefinition of ≅ Δ'sSOSAS Δ ≅ theoremN Not enough informationto prove triangles congruent?Tell which statement is true for the following pairs of triangles. Triangles congruent by SAS ∆≅ Thm.?Congruent trianglesby SSS ∆≅ Thm.? 9.  Could you use SSS or SAS to prove ΔSNO ≅ ΔOWS?WSYESNOON 10. Tell if and how the two triangles are congruent.CANot congruent, not enough infoAB ≅ EB, thus ∆'s are ≅ by SSS ∆≅AB ≅ EB and AC ≅ ED, thus ∆'s are ≅     by SSS ∆≅BDE Congruent by SSS∆≅ Thm.?Identify which statement is true for each of the pairs of triangles below. Congruent by SAS ∆≅Thm.?Not enough info to prove triangles congruent.? What additional information is needed to prove these triangles are congruent by SAS ∆≅ Thm.RS ≅ PQRO ≅ OQ∡P ≅ ∡S∡R ≅ ∡Q Complete the proof by dragging the correct statementsand reasons to their locations. Prove: ∆QAB ≅ ∆PBA∆QAB ≅ ∆PBA ?∡QAB ≅ ∡PBAStatements AQ ≅ BP?AB ≅ ABReflexive Property of ≅?SAS ∆ ≅ Thm.?GivenGiven?Reasonsnot used: SSS ∆≅ Thm.?
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