Question

What is the image of ( 3 , − 2 ) after a reflection over the line y = x?

Answer 1

(2,-3)

Explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and the signs are changed.

Answer 2

(-2, 3)

Solution:

• Remember, when you reflect a point over the line y=x, the x- and y-coordinates switch places.
• So if we had a point with the following coordinates: (4, 5) and we reflected it over the line y=x, then the coordinates of the point are (5, 4)
• Therefore, if we take a point (3,-2) and reflect it over the line y=x, then the coordinates of the point are now (-2, 3)

Hope it helps.

Do comment if you have any query.