Question

Quadrilateral ABCD is rotated 270° clockwise about the origin. What are the coordinates of quadrilateral A'B'C'D? 8 16, =1) A A (1,-1), D (1, -2) C ( 6-3)

Answer 1

Rule for a 270| clockwise rotation:

$P(x,y)\rightarrow P^{\prime}(-y,x)$

For the figure A'B'C'D':

$\begin{gathered} A(1,-1)\rightarrow A^{\prime}(1,1) \\ B(6,-1)\rightarrow B^{\prime}(1,6) \\ C(6,-3)\rightarrow C^{\prime}(3,6) \\ D(1,-2)\rightarrow D^{\prime}(2,1) \end{gathered}$

Answer: Coordinates of A'B'C'D' are A'(1,1) B'(1,6) C'(3,6) D'(2,1). Option B.