Directions: List three sequences of transformations that 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

There are an infinite number of answers but they all must involve a reflection. Most will also include a rotation (but not necessarily).

Source: Robert Kaplinsky

reflect Shape ABCD on a virticle line in the middle of the two shapes then rotate shape ABCD off point D than tranform point D to point D prime

Reflect on AD.

rotate 360 clockwise. Reflect on AD.

Translate up 2. Reflect on AD

Rotate shape ABCD 180 degrees then reflect shape ABCD on a middle line between shape ABCD and shaper ABCD prime then translate point D from shape ABCD to point D’ on shape ABCD prime.

Reflect over vertical line in between the shapes, rotate 90 degrees clockwise.

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

Some transformations that will bring shape ABCD to ABCD prime, is a reflection of shape ABCD in the middle if the two shapes (vertical), then a rotation 90 degrees clockwise, then a translation from point D to point D prime