What Is The Rule For Rotating 90 Degrees Clockwise About The Origin?Ī 90 degree clockwise rotation is a geometric transformation that rotates a figure or object 90 degrees in a clockwise direction around a fixed point. Therefore, the final result of rotating the point (2, 5) 90 degrees clockwise about the fixed point (1, 1) is (-3, 2). Step 3: Translate the rotated point back to its original position by adding the fixed point's coordinates: (-4 + 1, 1 + 1) = (-3, 2) Step 2: Rotate the translated point (1, 4) 90 degrees clockwise about the origin using the rule we mentioned earlier: New x-coordinate = -y = -(4) = -4 New y-coordinate = x = 1 Therefore, the rotated point is (-4, 1). Step 1: Translate the fixed point (1, 1) to the origin by subtracting its coordinates from the point we want to rotate: (2 - 1, 5 - 1) = (1, 4) Translate the rotated point back to its original position.įor example, let's say we want to rotate the point (2, 5) 90 degrees clockwise about the fixed point (1, 1).Rotate the point 90 degrees clockwise about the origin using the rule mentioned above. Translate the fixed point to the origin.To rotate a point 90 degrees about a fixed point (not necessarily the origin), we need to perform three steps: Therefore, the new point after rotation is (-4, 3). New x-coordinate = -y = -(4) = -4 New y-coordinate = x = 3 To do so, we switch the x and y coordinates and negate the new x coordinate: In other words, if the original point is (x, y), the new point after rotation will be (-y, x).įor example, let's say we want to rotate the point (3,4) 90 degrees clockwise about the origin. When rotating a point 90 degrees clockwise about the origin, we switch the x and y coordinates of the point and negate the new x coordinate.
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