Graph the polygon and its image after a reflection in the line y=3.

*Here are the coordinates for polygon EFGH...
E(1,3)
F(4,3)
G(5,0)
H(2,0)

What are the coordinates for polygon EFGH after its reflection in the line y=3?

Please show all the work on how you got your answer.

1 answer

If you plot the points you will totally see that the parallelogram has 2 vertices on the "flip" line and two below it.
The "flip" line is what you are reflecting over. So the ones on the line are "anchored" to the line and the two dots below the line flip over the line.
Let's look at (5,0)...
It is exactly 3 y coordinates below the line. So when you flip it over the line only the y coordinate will be affected. You will have to start at the line y=3 adn then add 3 to the y coordinate
(5, 3 is up at the line... ) but you want it reflected over the line
(5, 3 +3)
So (5,0) becomes (5,6) when reflected over the line y = 3
You do the other points : )
PS... you can see it nicely if you sketch it on the Cartesian Plane : )
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