the coordinates of the vertices after a reflection across the line x = 4.

Question

(4, -2)

(5, -2)

(5, 0)

(4, 0)

Answer 1

Try to think about this visually. If you plot these points on a graph and the line x=4, you'll get the graph linked below.

https://www.desmos.com/calculator/8kdkv7ihus

If you want to reflect over the line, imagine standing a mirror on the line. Since x=4 is a vertical line, only the x coordinate will change. Each point should be the same distance from the line in the opposite direction. So, points on the line should stay where they are, and points a distance d to the right should end up a distance d to the left.

See if you can figure it out from that explanation. If you're really stumped, check out the graph linked below.

https://www.desmos.com/calculator/txtq4kuzj8