Question

1. a glide reflection is a composition of ____________ that first __________ the preimage across a line and then ____________ the image in the direction of the line. a glide reflection is written ( t_{(x,y)}circ r_m ), with the transformation to perform ____________ on the right and the transformation to perform ____________ on the left.

Explanation:

A glide reflection is a type of transformation in geometry. It is a combination of two basic transformations. First, a reflection (which flips a figure over a line) is performed, and then a translation (which slides a figure) in the direction of the line of reflection. In the notation \(T_{\langle x,y
angle}\circ r_{m}\), the circle symbol \(\circ\) represents the composition of transformations. In function composition, the right - hand function is performed first. Here, \(r_{m}\) (the reflection) is on the right, so it is performed first, and \(T_{\langle x,y
angle}\) (the translation) is on the left, so it is performed second.

Answer:

A glide reflection is a composition of two transformations that first reflects the preimage across a line and then translates the image in the direction of the line. A glide reflection is written \(T_{\langle x,y
angle}\circ r_{m}\), with the transformation to perform first on the right and the transformation to perform second on the left.