Question

why does the angle-side-side (ass) theorem not work for proving triangle congruence? it does not consider the angles. the position of the second side is not fixed. it only works for isosceles triangles. it does not consider the sides.

Explanation:

When using Angle-Side-Side (ASS), if you fix one angle, one adjacent side, and a non-included side, the non-included side can swing to form two different non-congruent triangles. This means the second side's position is not fixed, so ASS cannot guarantee triangle congruence.

Answer:

The position of the second side is not fixed.