Question - Rotating Points Around the Origin
Solution:
To solve the question in the image, we need to determine the new positions of the vertices after a 270° counterclockwise rotation around the origin. The original coordinates of the vertices appear to be:- J(6,3)- K(9,3)- L(6,-2)Here are the general rules for rotating points around the origin:- For a 90° counterclockwise rotation, (x, y) becomes (-y, x).- For a 180° rotation, (x, y) becomes (-x, -y).- For a 270° counterclockwise rotation, (x, y) becomes (y, -x). Applying the rule for a 270° rotation to each point:For J(6,3):Rotate 270° counterclockwise to get J'(3,-6).For K(9,3):Rotate 270° counterclockwise to get K'(3,-9).For L(6,-2):Rotate 270° counterclockwise to get L'(-2,-6).Therefore, the new coordinates after the 270° counterclockwise rotation around the origin are:- J'(3, -6)- K'(3, -9)- L'(-2, -6)
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