Question

Using the diagram above, describe the transformation ortransformations that would map figure 3, the pre-image, onto figure 4, the image.

Answer 1

From the given diagram we get that:

`\begin{gathered} AB\cong BC, \\ AD\cong CE, \\ DC\cong EF, \\ CB\cong FB. \end{gathered}`

Therefore the orientation of the figure is preserved.

Recall that the only transformation that preserves orientation that is not a translation is a rotation.

Therefore the transformation that would map figure 3 onto figure 4 is a rotation about point B.

Answer: A rotation about point B.