Question

which transformation does not preserve the size of a figure?
a. dilation
b. rotation
c. reflection
d. translation
a parallelogram is reflected over the line y = x. what happens to the coordinates of the point (4, -2)?

Explanation:

Step1: Recall transformation properties

Dilation changes size by a scale - factor. Rotation, reflection, and translation are rigid - motions that preserve size and shape. So dilation does not preserve size.

Step2: Apply reflection rule

The rule for reflecting a point $(x,y)$ over the line $y = x$ is $(x,y)\to(y,x)$. For the point $(4, - 2)$, when reflected over $y = x$, we swap the $x$ and $y$ coordinates, getting $(-2,4)$.

Answer:

1. A. Dilation
2. The coordinates change to $(-2,4)$.