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3-22.

Triangle A, B, C. Side A, B is 8. Angle A is 40 degrees and angle C is 65 degrees. Refer to ∆ABC at right. Determine if each triangle below is congruent to , similar but not congruent to , or neither. Justify each answer. If you decide that they are congruent, organize your reasoning into a flowchart.

  1. Triangle X, Y, Z. Side Y, Z is 8. Angle Y is 65 degrees and angle Z is 75 degrees.

    Find the missing angles using the Triangle Angle Sum Theorem.

    Similar because of , but not congruent. Why?

  1. Triangle L, N, M. Side L, M is 8. Angle L is 75 degrees. Angle M is 50 degrees.

    Not similar and not congruent because there are no corresponding congruent angles between the triangles.

  1. Triangle P, Q, R. Side P, Q is 8. Angle P is 75 degrees. Angle Q is 40 degrees.