Answer:
A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)
Step-by-step explanation:
The coordinates of rectangle ABCD are A(-1,0), B(0,-1), C(-2,-3), (-3,-2).
The mapping for a rotation through 90° clockwise about the origin is
![(x,y)\to ( - y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28%20-%20y%2Cx%29)
Therefore:
![A(-1,0)\to A'(0,-1)](https://tex.z-dn.net/?f=A%28-1%2C0%29%5Cto%20A%27%280%2C-1%29)
![B(0,-1)\to B'(1,0)](https://tex.z-dn.net/?f=B%280%2C-1%29%5Cto%20B%27%281%2C0%29)
![C(-2,-3)\to C'(3,-2)](https://tex.z-dn.net/?f=C%28-2%2C-3%29%5Cto%20C%27%283%2C-2%29)
![D(-3,-2)\to D'(2,-3)](https://tex.z-dn.net/?f=D%28-3%2C-2%29%5Cto%20D%27%282%2C-3%29)
Therefore the image rectangle has coordinates:
A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)
The first choice is correct.