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

Answer:

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

Answer 2

Glide reflection is a single operation that involves a reflection over a line and followed by a translation.

Your friend's claim is correct.

From the definition, we can deduce that glide reflection consists of:

• 1 reflection
• 1 translation

This means that: 1 translation and 2 reflections is not a glide reflection

Hence, your friend's claim is correct.

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