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 degrees counter clockwise around origin

Answer 1

A'(-5,3), B'(-5,5), C'(-1,5) and D'(-1,3).

Explanation:

If a point P(h,k) is rotated counterclockwise by 90° about the origin then the image point P' will become with coordinates (-k,h).

Now, the rectangle ABCD with vertices A(3,5), B(5,5), C(5,1) and D(3,1) is rotated 90 degrees counter-clockwise around the origin and the image rectangle will be A'B'C'D' with coordinates A'(-5,3), B'(-5,5), C'(-1,5) and D'(-1,3). (Answer)