Find the glide reflection image
of the black triangle where the
translation is (x, y) (x – 8, y
– 7) and the line of reflection
is x = –3.
(1 point)
To find the glide reflection image, we first need to apply the translation (x – 8, y – 7) to the black triangle.
Let's denote the vertices of the black triangle as A, B, and C. The new coordinates after the translation will be A' = (x - 8, y - 7), B' = (x - 8, y - 7), and C' = (x - 8, y - 7).
Next, we need to reflect the translated triangle across the line x = -3. The line of reflection is 5 units away from the x = -8 line, so the new coordinates will be A'' = (x - 8, y - 7), B'' = (x - 8, y - 7), and C'' = (x - 8, y - 7).
Therefore, the glide reflection image of the black triangle is the triangle with vertices A'', B'', and C''.