A(-3,3) ---> A' is a glide reflection where the translation is (x,y) (x+5,y), and the line of reflection is y=1. What are the coordinates of A'?
(2,-3)
(-3,5)
(5,1)
(2,5)
---> is an arrow. I am not good on glide reflections and I'm very stuck on this one:( Please help?? Thanks
D. (2,5)
To find the coordinates of the image point A' after a glide reflection, you need to perform two transformations: translation and reflection.
1. Translation: The translation given is (x, y) → (x + 5, y). This means you need to add 5 to the x-coordinate of the point A.
So, the new x-coordinate of A' after translation is:
x-coordinate of A' = x-coordinate of A + 5 = -3 + 5 = 2
2. Reflection: The line of reflection is y = 1. To reflect A' across this line, you need to find the image point that is equidistant from the line as A is. In other words, the y-coordinate of the image point A' should be the same distance below the line y = 1 as the y-coordinate of A is above the line.
The y-coordinate of A is 3, and the distance from 3 to 1 is 2 units. So the image point A' would be 2 units below the line y = 1.
Therefore, the y-coordinate of A' is:
y-coordinate of A' = y-coordinate of reflection line - distance of A to reflection line = 1 - 2 = -1
The coordinates of A' are (2, -1).
Therefore, the correct answer is: (2, -3).