Answer:
Given the coordinates of rectangle ABCD are;
A = (3, 5)
B = (5,5)
C = (5, 1) and
D = (3, 1)
The rule of rotation 90 degree counter-clockwise around the origin is given by;
[tex](x, y) \rightarrow (-y, x)[/tex]
Now, the coordinates of each vertex when rectangle ABCD is rotated 90 degree counter-clockwise around the origin are;
[tex]A(3, 5) \rightarrow A'(-5, 3)[/tex]
[tex]B(5, 5) \rightarrow B'(-5, 5)[/tex]
[tex]C(5, 1) \rightarrow C'(-1, 5)[/tex]
[tex]D(3, 1) \rightarrow D'(-1, 3)[/tex]
