Question

Parallelogram QRST has vertices QC-4,2), R(-2,4), S(0,1), and I(-2.1). Draw and label the imageafter a counterclockwise rotation of 270° about the origin.

Answer 1

A counterclockwise rotation of 270 degrees about the origin is given by the rule:

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

Apply the rotation to each point to find the new coordinates:

`\begin{gathered} Q(-4,2)\rightarrow Q^(\prime)(2,4) \\ R(-2,4)\rightarrow R^(\prime)(4,2) \\ S(0,1)\rightarrow S^(\prime)(1,0) \\ T(-2,1)\rightarrow T^(\prime)(1,2) \end{gathered}`

Plot Q', R', S', and T' on a coordinate plane and draw the rotated figure: