Question

. Point A (-3,-3) to A’ is a glide reflection where the translation is (x+2, y) and the line of reflection is y=1? What are the new coordinates?

Answer 1

To find the new coordinates of point A after a glide reflection, we need to first apply the translation and then reflect the translated point across the line of reflection.

Applying the translation (x+2, y) to point A (-3,-3), we get:

A' = (-3+2, -3) = (-1, -3)

Now, we need to reflect point A' across the line of reflection y=1. To do this, we can find the distance between point A' and the line of reflection, and then move the point the same distance on the other side of the line.

The distance between point A' and the line y=1 is 1 unit (since the y-coordinate of A' is already 1 unit below the line). So, we can move the point 1 unit above the line to get the reflected point:

A'' = (-1, -3+1) = (-1, -2)

Therefore, the new coordinates of point A after the glide reflection are (-1, -2).