Chapter 14.2B, Problem 19A

If $\overline{P^{\prime }{Q}^{\prime }}$ is the image $\overline{PQ}$ (not shown) under a glide reflection determined by the slide arrow $\stackrel{\to }{AB}$ and $\stackrel{\leftrightarrow }{AB}$, answer the following

a. Describe the transformation that takes $\overline{P^{\prime }{Q}^{\prime }}$ to $\overline{PQ}$.

b. Construct any quadrilateral $DEFG$ and find its image $D^{\prime }{E}^{\prime }{F}^{\prime }{G}^{\prime }$ under the glide reflection described earlier. Then apply the same glide reflection to $D^{\prime }{E}^{\prime }{F}^{\prime }{G}^{\prime }$ and find its image $D^{″}{E}^{″}{F}^{″}{G}^{″}$.What is a single transformation under which the image of $DEFG$ will be $D^{″}{E}^{″}{F}^{″}{G}^{″}$?