Question

A(-3, -3) a is a glide reflection where the translation is (x,y) (x+5,y), and the line of symmetry reflection is y=1. what are the coordinates of a

(2,-3)
(-3,5)
(5,1)
(2,5)

Answer 1

(2,5)

Explanation:

Given point is a(-3, -3).

where x=-3 and y=-3

It says that; a is a glide reflection where the translation is (x,y)=>(x+5,y)

that means x=-3 changes to x+5=-3+5=2

and y=-3 remains same so we get new point

(2,-3)

Now it says that there is another transformation:

The line of symmetry reflection is y=1.

Obtained point (2,-3) is 4 unit downward from line y=1 so after reflection about y=1, point (2,-3) has to move 4 unit upward from y=1

that is y=1+5

Hence new coordinate of the point will be (2,5)

Hence final answer is (2,5).