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12-69.
  1. Carefully examine each diagram below and explain why the geometric figure cannot exist. Support your statements with reasons. If a line looks straight, assume that it is. Homework Help ✎

  2. a.

    b.

    c.

    d.

    e.

Review the triangle congruence conjectures from the Math Notes box.

The triangles should be congruent by SSS ≅, but 80° ≠ 50° and in congruent triangles all angles are equal as well.

The triangles should be congruent by SAS ≅, but 80° ≠ 90° and 40° ≠ 50° and in congruent triangles all angles are equal as well.

The triangles should be congruent by SAS ≅, but 10 ≠ 12 and in congruent triangles all sides are congruent as well.

What do you know about isosceles triangles?