Question

finding the coordinates of an image
sumy is working in geometry class and is given figure abcd in the coordinate plane to reflect. the coordinates of point d are (a, b) and she reflects the figure over the line y = x. what are the coordinates of the image d?
(-a, b)
(b, a)
(a, -b)
(-b, -a)

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected over the line $y = x$, the $x$ - coordinate and $y$ - coordinate swap.

Step2: Apply rule to point D

Given point $D=(a,b)$, after reflection over $y = x$, the new coordinates of $D'$ are $(b,a)$.

Answer:

B. $(b, a)$