See the attached images
Step-by-step explanation:
We're reflecting this image over the line y = –1, right?
This means we need to copy this image over the line like a mirror does a reflection. It isn't exactly what we got before, though—it's flipped backward, just like text when you look at it in a mirror!
First, look where points E and F are. They're two squares below the line. That means we count two squares up to reach y = –1… then count up another two squares to reflect the points across the line.
Next, look at point G. This is what I personally feel is easier: this point has a y-coordinate of –8. This makes it 7 squares below y = –1. To get its new y-coordinate, we add 7 to –1 to get y = 6.
The x-coordinates of the points don't change here; the line the shape is reflected over is a horizontal line. If the line were vertical, we'd only change the x-coordinates and not the y-coordinates. If the line were a linear function like y = x, we'd reflect our x-coordinates and y-coordinates.
Another way to think of it here: how squares below the line is each point? Then multiply that number by 2 and add it to the initial y-coordinate to find its new position.
Forgive me for the weird dots in the last image. I got frustrated and drew the triangle with my pinky finger because I can't quite draw nor write with a mouse yet!!
Hope this helps you understand! Have a great day!
