Question

Nora says that the shapes shown below are translations of each other. Judy says that the transformation is a glide-reflection. In two or more complete sentences, explain who is correct.

Answer 1

Nora is correct. This is because all the coordinates of the bottom shape move 6 units to the right and 7 units up. A translation changes the position of an object while maintaining its shape, size, and orientation. These two shapes maintain their shapes, sizes, and orientation, so this transformation is a translation.

Answer 2

Translation is the transformation that deals with moving an object from its initial position to another position without any alteration in the objects size or orientation.

A glide reflection is a transformation which involves refrection of an object across a line and translation of the object along the same line.

From the figure above it can be seen the shape on top is obtained by moving the shape under 6 units to the right and 7 units up.

There is no refrection of any sort between the two figures.

Therefore, Nora is correct.