### Home > GC > Chapter 7 > Lesson 7.2.6 > Problem 7-94

7-94.

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.

Review the triangle congruence conjectures.

The triangles should be congruent by

, but and in congruent triangles all angles are equal as well.

The triangles should be congruent by

, but and and in congruent triangles all angles are equal as well.

The triangles should be congruent by

, but and in congruent triangles all sides are congruent as well.

What do you know about isosceles triangles?