Question

What is the image of the point (5, –3) after a reflection over the line y = x?

A. (3, –5)
B. (–5, 3)
C. (–3, 5)
D. (5, 3)

Answer 1

The image of the point (5, –3) after a reflection over the line y = x is (–3, 5). Option C.

How to find the image after the reflection?

For a general point (x, y), the rule for a reflection over the line y = x is:

(x, y) --> (y, x)

So we just take a permutation of the values of the points.

Here we want to find the image of (5, -3) after this reflection. Taking the permutation of the values we get the image (-3, 5). That is the image after the reflection over the line y = x.