Directions: What is the fewest number of transformations needed to take pre-image ABCD to image A’B’C’D’?

### Hint

What transformations do you need to use? Can you use the same transformations and do it another way?

### Answer

A single reflection across a line that is roughly parallel to line segment DA in the pre-image will do it in one move. Otherwise students will likely get it in 2 moves by using a rotation and a reflection.

Source: Robert Kaplinsky

A reflection that takes A to A’ can only be in the perpendicular bisector of AA’

Same goes for B and B’ and these two lines are not the same. So no single reflection.

Maybe they put in the wrong diagram?

It means take ABCD to A’B’C’D’ up to translation; the actual location of the shapes is meant to be irrelevant here.

Yes, Ben is correct.

I should state that the actual location is irrelevant then. Not stating that would create major confusion.

Reflection between the middle of the pre-image and image, and rotate 180degree at the middle point.

Its kind of unclear what its asking, but if it means orientation then reflect across line AD

2 transformations. Reflection and a rotation.

You could rotate the pre imagine until it looks like a mirror image of shape A’B’C’D’, then a reflection between the two images.

A reflection across the middle of the two shapes that’s vertical and then a rotation 90 degrees clockwise