Question

part e
for each triangle in part d that is not congruent to triangle 1, mrs. smith asks the group to give a transformation that would make it congruent to triangle 1. list these transformations, if any.

Explanation:

Step1: Recall congruence - transformation rules

Congruent triangles have equal side - lengths and angles. Transformations that preserve side - lengths and angles (rigid motions) are translations, rotations, and reflections. A dilation changes the size of a triangle and thus makes it non - congruent.

Step2: Analyze non - congruent cases

If a triangle is dilated by a scale factor other than 1, it will not be congruent to the original triangle. For example, if a triangle is enlarged or reduced in size, its side - lengths change proportionally, and it is no longer congruent to the original triangle.

Answer:

Dilation is a transformation that would make a non - congruent triangle to Triangle 1.