![]() It is clear from the diagram, that the final outcome is the same in every aspect. On the right side of diagram, translation is performed on the blue pentagon first, outcome is the red pentagon and then reflection is performed on the red pentagon and outcome is the green pentagon. In the diagram shown above, in the left side of transformation, reflection is performed on the blue pentagon first, outcome is the red pentagon and then translation is performed on the red pentagon and outcome is the green pentagon. Glide reflection is commutative, whether we glide first then reflect or we reflect first and then glide, outcome remains same. Triangle P’’Q’’R’’ is an outcome of glide translation performed on the triangle PQR. Reflection over the x-axis is performed on the triangle P’Q’R’. Therefore the coordinates of the triangle P’Q’R’ are P’(9, -3), Q’(6, -1) and R’(4, -4). In the above diagram, PQR is a triangle with coordinates of the vertices P(-1, -3), Q(-4, -1), and R(-6, -4). In the above diagram, translation (glide) performed on the foot, and then reflection across the parallel line of translation, then again glide followed by the refection, this foot steps are the typical example of glide reflection. In everyday life, a classic example of glide reflection is the track of footprints left in the sand by a person walking over it.
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