Triangles congruent by ASA and AAS proofs

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    1. Similar tirangles VS. Congruent triangles
    2. Ways to prove congruency:
      • SSS
      • SAS
      • ASA
      • AAS
  1. What is the third congruence that is needed to prove that △ABC\triangle ABC≅\cong△DEF\triangle DEF using the given postulate or theorem?
    Triangles congruent by ASA and AAS proofs
    1. AB‾\overline {AB}≅\congDE‾\overline {DE} and ∠C\angle C≅\cong∠F\angle F
      Prove by AAS.
    2. AC‾\overline {AC}≅\congDF‾\overline {DF} and ∠A\angle A≅\cong∠D\angle D
      Prove by ASA.
    3. ∠A\angle A≅\cong∠D\angle D and ∠B\angle B≅\cong∠E\angle E
      Prove by AAS.
  2. Decide if the following triangles are congruent. Show your reasoning.
    1. △ABC\triangle ABC, △CBD\triangle CBD
      Proving triangles congruent by Angle Side Angle and Angle Angle Side proofs
    2. △XYZ\triangle XYZ, △XWZ\triangle XWZ
      ASA and AAS proofs of congruence of triangles
Topic Notes