Question

Find the coordinate of K' after a Glide reflection of the triangle: translation 4 units up and 4 units right then a reflection across the line y = 1.

Part 3a​

Answer 1

a. (-1, 3)

Explanation:

The "glide" 4 units right and up is the transformation ...

(x, y) ⇒ (x+4, y+4)

The reflection across y=1 is the transformation ...

(x, y) ⇒ (x, 2-y)

Combined, you have the transformation ...

(x, y) ⇒ (x +4, 2-(y +4)) = (x +4, -2-y)

Then, ...

K(-5, -5) ⇒ K'(-5 +4, -2-(-5)) = K'(-1, 3)