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?
(-3,8)
(-2,-2)
(5,-1)
(-1,5)
To find the new coordinates of point A after a glide reflection, we first need to apply the translation (x+2, y) to point A. This will give us the coordinates of the image of point A after translation, which we can then reflect across the line y=1 to get the final coordinates.
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 y=1. To do this, we can find the distance between point A' and the line y=1, and then move the same distance in the opposite direction to get the reflected point.
The distance between point A' and the line y=1 is 1+3 = 4 units. So, we need to move 4 units in the opposite direction of the line y=1, which is downwards.
Therefore, the reflected point A'' is:
A'' = (-1, -3-4) = (-1,-7)
So, the new coordinates of point A after the glide reflection are (-1,-7).
Therefore, the correct answer is not given in the options.