The given rule of translation represents a vertical translation 2 units up and a horizontal translation 2 units right.
(x,y) → (x+2,y+2)
To perform the translation, we have to add 2 to each y- and x-coordinate.
Reflection
To reflect the triangle in the given line, we will reflect its vertices. Recall that if a point (a,b) is reflected on the line y=x, then its image is (b, a). With this, let's reflect each vertex of the triangle.
&â–³ R'S'T' && â–³ R''S''T''
&R'(6,3) && R''(3,6)
&S'(9,5) && S''(5,9)
&T'(8,6) && T''(6,8)
Now that we know the reflected vertices, we can plot them and graph the image.
Final Glide Reflection
The final glide reflection is the combined translation and reflection.
