Question

A composition of a rotation and a reflection maps figure ABCDE to figure A’’B’’C’’D’’E’’. What is the composition of a reflection and a translation, that maps figure ABCDE to figure A’’B’’C’’D’’E’’?

Answer 1

The sequence of transformations is

• A reflection across the x-axis followed by the y-axis and vice versa
• A 180 degrees rotation

How to determine the sequence of transformations

From the question, we have the following parameters that can be used in our computation:

ABCDE and A'B'C'D'E

Also, we can see that

The point in different directions, share the same center and are in adjacent quadrants

So, a possible transformation is

A reflection across the x-axis followed by the y-axis and vice versa

Another possible transformation is a rotation by 180 degrees clockwise or counter clockwise