Question

angle - angle - side corresponding side (aas - c)
move points e until you have a triangle. you can also move points a, b, or c from the first triangle to change the size.
can you make a triangle that is a different size or shape than △abc with aas - c? why or why not?

Explanation:

Step1: Recall AAS - C congruence

The AAS - C (Angle - Angle - Side Corresponding Side) is a congruence criterion. If two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle, the triangles are congruent.

Step2: Analyze triangle formation

Since AAS - C is a congruence rule, any triangle constructed with the same two angles and the corresponding non - included side length as in \(\triangle ABC\) will be congruent to \(\triangle ABC\). Congruent triangles have the same shape and size. So, it is not possible to make a triangle of a different size or shape.

Answer:

No, because the AAS - C congruence criterion ensures that any triangle with the given two angles and the corresponding non - included side will be congruent to \(\triangle ABC\), meaning they have the same shape and size.