https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/v/rotating-points 2023-05-12T21:01:01.897246564Z Rotating points Positive rotation angles mean we turn counterclockwise. Negative angles are clockwise. We can think of a 60 degree turn as 1/3 of a 180 degree turn. A 90 degree turn is 1/4 of the way around a full circle. The angle goes from the center to first point, then from the center to the image of the point. video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Rotating points Positive rotation angles mean we turn counterclockwise. Negative angles are clockwise. We can think of a 60 degree turn as 1/3 of a 180 degree turn. A 90 degree turn is 1/4 of the way around a full circle. The angle goes from the center to first point, then from the center to the image of the point. https://cdn.kastatic.org/ka-youtube-converted/0NYbQPcdxg8.mp4/0NYbQPcdxg8.mp4 110 Rotation of a shape https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-transformations-intro/a/intro-to-rotations 2022-06-13T22:23:00.945663613Z Rotations intro Learn what rotations are and how to perform them in our interactive widget. article https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/e/performing-rotations-on-the-coordinate-plane 2026-04-08T00:36:09.500768563Z Rotate points Given a point and a definition of a rotation, plot the rotation on a coordinate plane or identify the coordinates of the rotated point. Tomer Gal exercise https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/v/points-after-rotation 2021-02-16T16:08:13Z Rotating shapes Sal is given a triangle on the coordinate plane and the definition of a rotation about the origin, and he manually draws the image of that rotation. video https://cdn.kastatic.org/googleusercontent/ryzpJhKhWrS1aIVhgEGBk4l1pSuU5cwCYGGk3g3Z_n65H4DZIhy6iKwT75LvrxuldQ4_i68sddB0kyK07XCJhwN3 Rotating shapes Sal is given a triangle on the coordinate plane and the definition of a rotation about the origin, and he manually draws the image of that rotation. https://cdn.kastatic.org/ka-youtube-converted/6nUMiJfHLSA.mp4/6nUMiJfHLSA.mp4 492 Rotation of a shape https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/a/rotating-shapes 2022-05-10T22:02:00.85367701Z Rotating shapes about the origin by multiples of 90° Learn how to draw the image of a given shape under a given rotation about the origin by any multiple of 90°. article https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/e/rotations-1 2026-04-07T23:36:17.218592739Z Rotate shapes Given a figure on the coordinate plane and the definition of a rotation about the origin, manually draw the image of that rotation. Tomer Gal exercise https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/v/defining-rotation-example 2023-05-12T21:01:01.897246564Z Determining rotations To see the angle of rotation, we draw lines from the center to the same point in the shape before and after the rotation. Counterclockwise rotations have positive angles, while clockwise rotations have negative angles. Then we estimate the angle. For example, 30 degrees is 1/3 of a right angle. video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Determining rotations To see the angle of rotation, we draw lines from the center to the same point in the shape before and after the rotation. Counterclockwise rotations have positive angles, while clockwise rotations have negative angles. Then we estimate the angle. For example, 30 degrees is 1/3 of a right angle. https://cdn.kastatic.org/ka-youtube-converted/6pH-7pciYU8.mp4/6pH-7pciYU8.mp4 177 Rotation of a shape https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/a/determining-rotations 2023-09-29T20:10:37.268517027Z Determining rotations Learn how to determine which rotation brings one given shape to another given shape. article https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-rotations/e/defining-rotations 2026-04-08T01:15:04.085520103Z Determine rotations Given a figure on the coordinate plane and a center of a rotation, find the angle for the rotation that maps one figure to the other. Tomer Gal exercise