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Home > CCG > Chapter 7 > Lesson 7.1.4 > Problem 7-47

7-47.

Lines A, D and B, E intersect at point C and create triangle A, B, C, and triangle C, D, E.If , which of the statements below must be true? Justify your conclusion. Note: More than one statement may be true.  

  1. None of these are true.

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

Angle A and angle D are both marked with one tick mark. Angle C and angle C are both marked with two tick marks. Angle B and angle E are both marked with three tick marks. Side B, C and side C, E are both marked with one tick mark. Side A, B and side D, E are both marked with two tick marks. Side A, C and side C, D are both marked with three tick marks.

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