Question

Rectangle pqrs is rotated 180 �� clockwise about the origin to create rectangle p ��� ���� q ��� ���� r ��� ���� s ��� . What are the coordinates of rectangle p ��� ���� q ��� ���� r ��� ���� s ��� after the rotation has occurred?

Answer 1

To find the coordinates of each point of a rectangle after rotating it 180 degrees clockwise about the origin, apply the rotation equations x' = x*cos(q) + y*sin(q) and y' = -x*sin(q) + y*cos(q).

Step-by-step explanation:

When a rectangle is rotated 180 degrees clockwise about the origin, the coordinates of each point change according to the following equations:

x' = x*cos(q) + y*sin(q)

y' = -x*sin(q) + y*cos(q)

Substituting the coordinates of each point from the original rectangle into these equations will give you the coordinates of the points after the rotation.