Triangles congruent by ASA and AAS proofs

Triangles congruent by ASA and AAS proofs

Lessons

  • 1.
    What is the third congruence that is needed to prove that ABC\triangle ABC\congDEF\triangle DEF using the given postulate or theorem?
    Triangles congruent by ASA and AAS proofs
    a)
    AB\overline {AB}\congDE\overline {DE} and C\angle C\congF\angle F
    Prove by AAS.

    b)
    AC\overline {AC}\congDF\overline {DF} and A\angle A\congD\angle D
    Prove by ASA.

    c)
    A\angle A\congD\angle D and B\angle B\congE\angle E
    Prove by AAS.


  • 2.
    Decide if the following triangles are congruent. Show your reasoning.
    a)
    ABC\triangle ABC, CBD\triangle CBD
    Proving triangles congruent by Angle Side Angle and Angle Angle Side proofs

    b)
    XYZ\triangle XYZ, XWZ\triangle XWZ
    ASA and AAS proofs of congruence of triangles