Question

angle - side - angle (asa)
move points f 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? why or why not?

Explanation:

Step1: Recall ASA congruence criterion

The ASA (Angle - Side - Angle) congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the two triangles are congruent.

Step2: Analyze the given situation

In triangles $\triangle ABC$ and the triangle formed by moving point $F$ with the same two - angle and included - side measures, since the ASA condition is met, all corresponding parts of the triangles are equal.

Answer:

No, you cannot make a triangle that is a different size or shape than $\triangle ABC$. This is because of the ASA (Angle - Side - Angle) congruence criterion. When two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle, the triangles are congruent, meaning they have the same size and shape.