6/20/2023 0 Comments 90 rotation clockwise![]() The algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x). 90 DEGREE CLOCKWISE ROTATION When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure. Therefore, the algebraic rule for a figure that is rotated 270° clockwise about the origin is (y, -x) ![]() ![]() Therefore, the coordinate of a point (3, -6) after rotating 90° anticlockwise and 270° clockwise is (-6, -3). Rotating 270° clockwise, (x, y) becomes (y, -x) Rotating 90° anticlockwise, (x, y) becomes (-y, x) Follow the calculations for each rotation with the. Is a 90 degree rotation clockwise or counterclockwise Since the rotation is 90 degrees, you will rotating the point in a clockwise direction. For a 90 degree counterclockwise rotation, switch the numbers of the coordinates x and y then multiply the previous y coordinate by -1. In other words, switch x and y and make y negative. Given, the coordinate of a point is (3, -6) 90 Degree Rotation When rotating a point 90 degrees counterclockwise about the origin our point A (x,y) becomes A' (-y,x). 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. For example, to rotate the point (2, 5) counterclockwise about the origin by 90 degrees, we use the rule: (x,y)(y,x) ( x, y ) ( y, x ). The amount of rotation is called the angle of rotation and it is measured in degrees. In trigonometry and mathematics in general, plane angles are conventionally measured counterclockwise, starting with 0° or 0 radians pointing directly to the right (or east), and 90° pointing straight up (or north). You should assume this, unless it is noted in the problem that you need to rotate. The convention is that when rotating shapes on a coordinate plane, they rotate counterclockwise, or towards the left. Rotating a shape 90 degrees is the same as rotating it 270 degrees clockwise. The fixed point is called the center of rotation. 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 visually explore how to rotate a point. Note the corresponding clockwise and counterclockwise rotations. 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.
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