Question

. Your friend claims that it is not possible to have a glide reflection if you have one translation followed by two reflections. Is your friend correct? Explain your reasoning.

Answer 1

Your friend is correct. A glide reflection cannot be formed with one translation followed by two reflections.

Step-by-step explanation:

Yes, your friend is correct. You cannot have a glide reflection if you have one translation followed by two reflections. A glide reflection is a transformation that combines a translation and a reflection.

In order to have a glide reflection, you need a specific order of transformations: first a reflection, then a translation in the direction of the reflection line, and finally another reflection in a different line.

If you have one translation followed by two reflections, this sequence of transformations does not match the requirements of a glide reflection. Therefore, your friend is correct in saying that it is not possible to have a glide reflection in this scenario.

Answer 2

Yes my friend is correct

Step-by-step explanation:

You cannot have a glide reflection if you have one translation which is followed by two ( 2 ) reflections .

This is because Glide reflection is made up of one ( 1 ) reflection in line with a single translation along the same line

Glide reflection is known as an opposite isometry of the Euclidean plane