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. Im wondering how you solve this. I think it's (3,6)

A. (2,5)
B. ( 5,3)
C. (3,6)
D. (6,3

Answer 1

You are given the first point (2, 3) and a line x = 4. If you go ahead and graph these, it makes it a little more clear when they say that point p is symmetric with point Q with respect to the line x = 4.

Line x = 4 is the line of symmetry, so point Q is reflected across it. Point p has an x value of 2 (2 away from the line of symmetry, so point Q's x value has to be 2 away on the other side... 6. The y value is unchanged so your point is

D. (6, 3)