![]() The opposite of 5 is -5 and, switching the coordinates, we obtain our answer: (8, -5). The rule for rotating an object 270° clockwise about the origin is to take the opposite value of the x coordinate and then switch it with the y coordinate. ![]() A dilation is a type of transformation that enlarges or reduces a figure (called the preimage) to create a new figure (called the image). Let’s look at a real example, here we plotted point A at (5, 6) then we rotated the paper 90 clockwise to create point A’, which is at (6, 5). ![]() For a rotation \(r_O\) of 90° centered on the origin point \(O\) of the Cartesian plane, the transformation matrix is \(\begin\). Rotate the point (5, 8) about the origin 270° clockwise. In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. If you take a coordinate grid and plot a point, then rotate the paper 90 or 180 clockwise or counterclockwise about the origin, you can find the location of the rotated point.The rule of a rotation \(r_O\) of 270° centered on the origin point \(O\) of the Cartesian plane in the positive direction (counter-clockwise), is \(r_O : (x, y) ↦ (y, −x)\). The rule of a rotation \(r_O\) of 180° centered on the origin point \(O\) of the Cartesian plane, in the positive direction (counter-clockwise) is \(r_O : (x, y) ↦ (−x, −y)\). On this lesson, you will learn how to perform geometry rotations of 90 degrees, 180 degrees, 270 degrees, and 360 degrees clockwise and counter clockwise and. The rule of a rotation \(r_O\) of 90° centered on the origin point \(O\) of the Cartesian plane, in the positive direction (counter-clockwise), is \(r_O : (x, y) ↦ (−y, x)\). Watch this video to learn the basics of geometric transformations, such as translations, rotations, reflections, and dilations. ![]()
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