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. An object and its rotation are the same shape and size, but the figures may be turned in different directions. Than 60 degree rotation, so I won't go with that one. A rotation is a transformation that turns a figure about a fixed point called the center of rotation. And it looks like it's the same distance from the origin. The Shatapatha Brahmana (3rd century BC) contains rules for ritual geometric constructions that are similar to the Sulba Sutras. 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. There are many important rules when it comes to rotation. 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. If this triangle is rotated 90° counterclockwise. (-y, x) Example 1 : Let F (-4, -2), G (-2, -2) and H (-3, 1) be the three vertices of a triangle. P is right over here and we're rotating by positive 60 degrees, so that means we go counterĬlockwise by 60 degrees. 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. 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. A composite transformation is when two or more transformations are performed on a figure (called the preimage) to produce a new figure (called the image). There are many different explains, but above is what I searched for and I believe should be the answer to your question. In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. 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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