Question

The point P(4, 4) is reflected over the line x = 5. What are the coordinates of the resulting point, P’?

(Please try to explain how to do it if you can, I’m struggling to understand)

Answer 1

To reflect the point P(4, 4) over the line x = 5, you can follow these steps:

1. Draw a line perpendicular to x = 5 that passes through point P(4, 4). This line will be parallel to the y-axis and will intersect x = 5 at the point (5, 4).

2. Extend the perpendicular line on the opposite side of x = 5.

3. The reflected point P' will be the intersection of the extended perpendicular line and x = 5.

Using this method, we can see that the extended perpendicular line will pass through the point (6, 4) on the opposite side of x = 5. Therefore, the reflected point P' will have coordinates (6, 4).