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The diagrams below are not necessarily drawn to scale. For each pair of triangles:

  • Determine if the two triangles are congruent.

  • If the triangles are congruent, write a congruence statement (such as ) and give the congruence theorem (such as ).

  • If the triangles are not congruent, or if there is not enough information to determine congruence, write “cannot be determined” and explain why not. Homework Help ✎

    A shared side is a congruent side.
    AAA does not prove congruency.
    Order matters: SAS proves congruence but SSA does not.

    1. is a straight segment:

      Figure a

    1. Figure b

    1. Figure c

    1. Figure d

    1. Figure e

    1. Figure f