Question

Point A(–4, 2) is reflected over the line x = 3 to create the point A'. What are the coordinates of A'?

Answer 1

what does x=3 mean

Answer 2

* the drawn point A is actually A'
If you'd see the graph, point A (-4,2) is equidistant (same distance from x=3 as is A' to the vertical line).

As point A is 7 units (3 - (-4)) to the left of x=3, point A' will also be 7 units to the right of x=3, which means the x-coordinate of A' is (3 + 7) = 10.

As it is reflected about the x=3 line, there will be no change to the y-coordinate (remains as 2)

Answer 3

@markuscl58
x=3 is a vertical line, for all points in the line, the x value of the points are always 3.
y=3 is a horizontal line, for all points in the line, the y value of the points are always 3.

Answer 4

thank you