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Home > GC > Chapter 7 > Lesson 7.1.4 > Problem 7-42

7-42.
  1. If ΔABC ≅ ΔDEC , which of the statements below must be true? Justify your conclusion. Note: More than one statement may be true. Homework Help ✎

    1. mangleB = mangleD

    2. AD = BE

    3. None of these are true.

Using the fact that the triangles are congruent, mark the angles and sides that are congruent.

Determine which statements must be true. Do not rely on what simply looks true from the diagram.

(a) and (c) are correct because if the triangles are congruent, then corresponding parts are congruent.
Since alternate interior angles are congruent, then AB DE.