A quadrilateral \(ABCD\) has vertices \(A(-1,5)\), \(B(1,8)\), \(C(5,7)\), and \(D(3,1)\).
This quadrilateral is rotated \(90^\circ\) clockwise about the origin, \(O\), to give the image \(A'B'C'D'\).
Draw the image and state the coordinates of \(A'\), \(B'\), \(C'\), and \(D'\).
Solution
The coordinates of the vertices of the image are
- \(A'(5,1)\)
- \(B'(8,-1)\)
- \(C'(7,-5)\), and
- \(D'(1,-3)\).