### Home > CC4 > Chapter 8 > Lesson 8.2.1 > Problem 8-102

8-102.

Carefully examine each diagram below and explain why the geometric figure cannot exist. Support your statements with reasons. Homework Help ✎a.

b.

c.

d.

e.

f.

Read the Math Notes box from Lesson 7.1.6 to review the triangle congruence conjectures.

What do you know about isosceles triangles?

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.