Question

analyzing a scale factor
a rectangle is dilated by a scale factor of n = 1. which statement is true regarding the image of the dilation?
the image will be smaller than the pre - image because n = 1.
the image will be congruent to the pre - image because n = 1.
the image will be larger than the pre - image because n = 1.
the image will be a triangle because n = 1.

Explanation:

Dilation with a scale factor of 1 means all dimensions of the rectangle remain unchanged. Congruent figures have identical shape and size, which matches the result here. Other options are incorrect: scale factor 1 does not change size (ruling out smaller/larger), and dilation preserves shape (so the image stays a rectangle).

Answer:

B. The image will be congruent to the pre-image because n = 1.