Question

Point P has coordinates (2 , 3) point Q is symmetric to point P with respect to the line x=4 what are the coordinates of point Q

(2 , 5)
(5 , 3)
(3 , 6)
(6 , 3)

Answer 1

Q is (6, 3).

Explanation:

The line x = 4 is a vertical line on the coordinate grid which passes through the x-axis at the point where x = 4.

So the x coordinate of Q will be the same distance after x = 4 as P is before it. That is where x = 4+2 = 6. The y coordinate will be the same as that of P.

(Imagine that the line x = 4 is a mirror, then Q is the image of P).