Question

Given the point A(-3, 5) find the image after the following glide reflection:

Translation: (x, y) -> (x - 6, y - 1)
Reflection: in x= -1
(7,4)
(3,4)
O(-3,4)
O(-7,-4)

Answer 1

(7, 4 )

Explanation:

Under the rule (x, y ) → (x - 6, y - 1 ), then

A(- 3, 5 ) → (- 3 - 6, 5 - 1 ) → (- 9, 4 )

Reflecting (- 9, 4 ) in the line x = - 1

x = - 1 is a vertical line, thus under the reflection the y- coordinate remains unchanged.

- 9 is 8 units to the left of the line x = - 1, hence

The x- coordinate of the reflection will be 8 units to the right of x = - 1

(- 9, 4 ) → (- 1 + 8, 4 ) → (7, 4 )