Question

Determine a series of transformations thatwould map Figure D onto Figure E.the answer choices for both are “reflection, rotation, or translation”

Answer 1

The first transformation that needs to be done is the one that positions the figure in the same orientation as the result, in this case, the figure cannot get in the same orientation using reflection meaning that we need to use a rotation.

To get the figure we need to rotate the figure to the right, this can be done through a 90° rotation clockwise following the rule

`(x,y)\rightarrow(y,-x)`

then, for the points in figure D

`\begin{gathered} (-2,7)\rightarrow(7,2) \\ (-3,6)\rightarrow(6,3) \\ (-3,2)\rightarrow(2,3) \\ (-4,4)\rightarrow(4,4) \\ (-8,7)\rightarrow(7,8) \end{gathered}`

the resulting figure should be:

FInally, position the figure in the same place as figure D using a translation 5 units to the right.