![]() ![]() ![]() The algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x). Therefore, the algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x) When describing the direction of rotation, we use the terms clockwise and counter clockwise. Rotations can be described in terms of degrees (E.g., 90° turn and 180° turn) or fractions (E.g., 1/4 turn and 1/2 turn). Therefore, the coordinate of a point (3, -6) after rotating 90° anticlockwise and 270° clockwise is (-6, -3). A rotation is a transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. When describing a rotation, we must include the amount of rotation, the direction of turn and the center of rotation. Rotating 270° clockwise, (x, y) becomes (y, -x) Rotating 90° anticlockwise, (x, y) becomes (-y, x) Given, the coordinate of a point is (3, -6) The general rule for a rotation by 180 about the origin is (A,B) (-A, -B) Rotation by 270 about the origin: R (origin, 270) A rotation by 270 about the origin can be seen in the picture below in which A is rotated to its image A'. What will be the coordinate of a point having coordinates (3,-6) after rotations as 90° anti-clockwise and 270° clockwise? Rotating a figure 270 degrees clockwise is the same as rotating a figure 90 degrees counterclockwise. The amount of rotation is called the angle of rotation and it is measured in degrees. The fixed point is called the center of rotation. Gets us to point A.What is the algebraic rule for a figure that is rotated 270° clockwise about the origin?Ī rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point. In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. That and it looks like it is getting us right to point A. Our center of rotation, this is our point P, and we're rotating by negative 90 degrees. Which point is the image of P? So once again, pause this video and try to think about it. Than 60 degree rotation, so I won't go with that one. And it looks like it's the same distance from the origin. Like 1/3 of 180 degrees, 60 degrees, it gets us to point C. So does this look like 1/3 of 180 degrees? Remember, 180 degrees wouldīe almost a full line. One way to think about 60 degrees, is that that's 1/3 of 180 degrees. ![]() So this looks like aboutĦ0 degrees right over here. A rotation is a transformation that turns a figure about a fixed point called the center of rotation. P is right over here and we're rotating by positive 60 degrees, so that means we go counterĬlockwise by 60 degrees. ![]() It's being rotated around the origin (0,0) by 60 degrees. Which point is the image of P? Pause this video and see That point P was rotated about the origin (0,0) by 60 degrees. I included some other materials so you can also check it out. In the figure below, one copy of the octagon is rotated 22 ° around the point. Notice that the distance of each rotated point from the center remains the same. 'Rotation' means turning around a center: The distance from the center to any point on the shape stays the same. There are many different explains, but above is what I searched for and I believe should be the answer to your question. In geometry, rotations make things turn in a cycle around a definite center point. There is also a system where positive degree is clockwise and negative degree anti-clockwise, but it isn't widely used. Product of unit vector in X direction with that in the Y direction has to be the unit vector in the Z direction (coming towards us from the origin). Clockwise for negative degree.įor your second question, it is mainly a conventional that mathematicians determined a long time ago for easier calculation in various aspects such as vectors. ![]()
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