The glide reflection of the figure is given below. Therefore, option D is the correct answer.
What is a glide reflection?
Glide Reflection is a composition of transformations. In glide reflection, a translation is first performed on the figure then it is reflected over a line.
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.
Given: The rule of translation is: (x, y)→(x, y-7) and the line of reflection is x= 1.
Now, apply the rule of translation to the black triangle, and we get;
A(2, 8)→(2, 8-7)=A'(2, 1)
B(2, 5)→(2, 5-7)=B'(2, -2)
C(6, 5)→(6, 5-7)=C'(6, -2)
Now, apply the rule of reflection over the line x =1.
That is, (x, y)→(-x+2, y)
A'(2, 1)→(-2+2, 1)=A''(0, 1)
B'(2, -2)→(-2+2, -2)=B''(0, -2)
C'(6, -2)→(-6+2, -2)=C''(-4, -2)
You can see the graph of the Glide reflection as shown below.
Therefore, option D is the correct answer.
To learn more about the Glide reflection visit:
https://brainly.com/question/23836664.
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