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GeoGebraGeoGebra Classroom

Rotation

Explanation

A rotation is a shape that moves around a fixed point. To rotate an image you need a degree to know how far to rotate the image, a center point to know where to rotate the image around, a direction to know what way to rotate the image, and all the points on the pre-image must be the same distance away from the center point then they are from the center point to the new image. I rotated the image above around the center point M(-1,-1), 90° counter clockwise. I rotated it by changing the points from the original ones to negation the y and putting it before the x (-y,x). I did that because when you flip the x and the y that flips the image to its side and negating the y makes the shat switch quadrants to the second one. the pre-image started in quadrant one and after being rotated 90° counter clockwise it eventually ended up in quadrant 2.