COMPUTER SCIENCE AND ENGINEERING
COMPUTER GRAPHICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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X’=r cos ( +) and Y’=r cos ( +)
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X’=r cos ( +) and Y’=r sin ( +)
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X’=r cos (-) and Y’=r cos (-)
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X’=r cos ( +) and Y’=r sin (-)
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Detailed explanation-1: -Coordinates of Rotation: The point (x, y) rotated an angle of counter-clockwise about the origin will land at point (x′, y′) where x′=xcos()−ysin() x ′ = x cos ( ) − y sin and y′=ycos()+xsin() y ′ = y cos ( ) + x sin .
Detailed explanation-2: -Answer : C, Explanation-Positive values for the rotation angle defines Counterclockwise rotations about the piovt points.
Detailed explanation-3: -180 Degree Rotation When rotating a point 180 degrees counterclockwise about the origin our point A(x, y) becomes A’(-x, -y). So all we do is make both x and y negative.
Detailed explanation-4: -When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.