Geometry Math

Question

An architect is designing a new windmill with four sails. In her sketch, the sails' center of rotation is the origin, (0,0), and the tip of one of the sails, point Q, has coordinates (2,-3). She wants to make another sketch that shows the windmill after the sails have rotated 270 degrees about their center of rotation. What would be the coordinates of Q'?

Answer 1

You don't say whether the rotation is clockwise or counterclockwise - it makes a difference.  Here are the rules:

• For 270^o CW, (x, y) rotates to (-y, x)
• For 270^o CCW, (x, y) rotates to (y, -x)

Check out this Wyzant resource on geometric transformations. https://www.wyzant.com/resources/files/496649/geometric_transformations