Question

Rectangle ABCD has vertices A(3, 5), B(5,5), C(5, 1) and D(3, 1). Drag and drop the coordinates of each vertex when rectangle ABCD is rotated 90° counter-clockwise around the origin.

Answer 1

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;

`(x, y) \rightarrow (-y, x)`

Now, the coordinates of each vertex when rectangle ABCD is rotated 90 degree counter-clockwise around the origin are;

`A(3, 5) \rightarrow A'(-5, 3)`

`B(5, 5) \rightarrow B'(-5, 5)`

`C(5, 1) \rightarrow C'(-1, 5)`

`D(3, 1) \rightarrow D'(-1, 3)`