Sign In
A glide reflection is a transformation involving a translation followed by a reflection.
To complete a glide reflection, we first perform the translation and then the reflection.
Let's begin by drawing â–ł RST.
(x,y) → (x,y-1) To perform the translation, we have to subtract 1 from each y-coordinate.
To reflect the quadrilateral in the given line, we will reflect its vertices. Recall that if a point (a,b) is reflected in the y-axis, then its image is (- a, b). With this, let's reflect each vertex of the triangle. &â–ł R'S'T' && â–ł R''S''T'' &R'(4,0) && R''(-4,0) &S'(7,2) && S''(-7,2) &T'(6,3) && T''(-6,3) Now that we know the reflected vertices, we can plot them and graph the image.
The final glide reflection is the combined translation and reflection.