Answer:
Option D is correct.
Explanation:
From the given figure,
Labelled the black triangle as A, B and C
The coordinates of triangle ABC are;
A= (2,8) , B= (2,5) and C=(6,5)
To find the glide reflection image of the triangle ABC.
Glide Reflection: It is a composition of transformations.
In glide reflection, a translation is first performed on the figure then it is reflected over a line.
Given: The rule of translation is:
and line of reflection is x= 1.
Now, apply the rule of translation on black triangle, we get;
= A' (2,1)
=B' (2,-2)
= C' (6,-2)
Next,
Apply the rule of reflection over the line x =1,
i.e, ![(x,y) \rightarrow (-x+2, y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Crightarrow%20%28-x%2B2%2C%20y%29)
=A" (0,1)
=B" (0,-2) and
=C" (-4,-2)
You can see the graph of Glide reflection as shown below in the attachment.