Respuesta :
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
[tex](x,y)\to ( - y,x)[/tex]
Therefore:
[tex]A(-1,0)\to A'(0,-1)[/tex]
[tex]B(0,-1)\to B'(1,0)[/tex]
[tex]C(-2,-3)\to C'(3,-2)[/tex]
[tex]D(-3,-2)\to D'(2,-3)[/tex]
Therefore the image rectangle has coordinates:
A'(0,-1), B'(1,0) , C'(3,-2), and D'(2,-3)
The first choice is correct.