Question

1. a parallelogram is reflected over the line y = x. what happens to the coordinates of the point (4, -2)?

a. (-2,4)
b. (-4,2)
c. (2,-4)
d. (4,2)

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected over the line $y = x$, the coordinates are swapped.

Step2: Apply rule to point

For the point $(4,-2)$, swap $x = 4$ and $y=-2$. So the new point is $(-2,4)$.

Answer:

A. $(-2,4)$