Question

side - side - angle (ssa) - acute angle
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. if points a, b or c are moved, make sure that angle a remains acute.
if angle a and angle d are acute angles, can you make a triangle that is a different size or shape than △abc? why or why not?

Explanation:

Step1: Recall SSA triangle - congruence rules

In SSA (Side - Side - Angle) with an acute - angled case, it is not a congruence criterion like SSS, SAS, ASA, or AAS.

Step2: Analyze triangle construction

Given two sides and a non - included acute angle, multiple non - congruent triangles can be constructed. You can change the position of the third vertex (point F in the second triangle) to get a triangle of a different size and shape. This is because the length of the side opposite the given acute angle and the other given side can be arranged in different ways to form non - congruent triangles.

Answer:

Yes, you can make a triangle that is a different size or shape than $\triangle ABC$ because SSA (with an acute - angled case) does not guarantee triangle congruence and allows for multiple non - congruent triangle constructions.