Question

select the correct answer.
a polygon is translated and then stretched vertically. which statement is correct?
a. the translation does not preserve side lengths and angles, but the vertical stretch preserves side lengths and angles of the preimage.
b. both the translation and the vertical stretch preserve side lengths and angles of the preimage.
c. the translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.
d. neither the translation nor the vertical stretch preserves side lengths and angles of the preimage.

Explanation:

A translation is a rigid transformation, meaning it preserves both side lengths and angles of a polygon, keeping its size and shape unchanged. A vertical stretch is a non-rigid transformation: it alters vertical side lengths (distorting the polygon's size) while keeping horizontal side lengths the same, and it changes the angles of the polygon as the shape is skewed.

Answer:

C. The translation preserves side lengths and angles, but the vertical stretch does not preserve side lengths and angles of the preimage.