https://www.khanacademy.org/math/geometry-tx/x790e3ac3e338c450:transformations-in-the-plane/x790e3ac3e338c450:building-advanced-transformations/v/rotating-algebraically-about-a-point 2025-03-03T19:53:28.803292627Z Rotating algebraically about a point Rotate a figure about a point other than the origin on the plane and with algebraic coordinate notation. We can do this by translating the plane so the center of rotation is at the origin, rotating about the origin, and then translating the plane back. Sal Khan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Rotating algebraically about a point Rotate a figure about a point other than the origin on the plane and with algebraic coordinate notation. We can do this by translating the plane so the center of rotation is at the origin, rotating about the origin, and then translating the plane back. https://cdn.kastatic.org/ka-youtube-converted/c1qJuIxXOMY.mp4/c1qJuIxXOMY.mp4 455 Building advanced transformations https://www.khanacademy.org/math/geometry-tx/x790e3ac3e338c450:transformations-in-the-plane/x790e3ac3e338c450:building-advanced-transformations/v/dilating-algebraically-about-a-point 2025-03-03T19:53:28.803292627Z Dilating algebraically about a point Dilate a figure about a point other than the origin on the plane and in algebraic coordinate notation. We can do this by translating the plane so the center of dilation is at the origin, dilating about the origin, and then translating the plane back. Sal Khan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Dilating algebraically about a point Dilate a figure about a point other than the origin on the plane and in algebraic coordinate notation. We can do this by translating the plane so the center of dilation is at the origin, dilating about the origin, and then translating the plane back. https://cdn.kastatic.org/ka-youtube-converted/CySwZBgM_j4.mp4/CySwZBgM_j4.mp4 315 Building advanced transformations https://www.khanacademy.org/math/geometry-tx/x790e3ac3e338c450:transformations-in-the-plane/x790e3ac3e338c450:building-advanced-transformations/v/reflecting-over-yx 2025-03-03T19:53:28.803292627Z Reflecting over y=x Reflect a figure over the line y = x in the plane and with algebraic coordinate notation. This common transformation swaps the x- and y-coordinates of every point in the figure. Sal Khan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Reflecting over y=x Reflect a figure over the line y = x in the plane and with algebraic coordinate notation. This common transformation swaps the x- and y-coordinates of every point in the figure. https://cdn.kastatic.org/ka-youtube-converted/-47SHD2cPAY.mp4/-47SHD2cPAY.mp4 179 Building advanced transformations https://www.khanacademy.org/math/geometry-tx/x790e3ac3e338c450:transformations-in-the-plane/x790e3ac3e338c450:building-advanced-transformations/v/reflecting-over-y-negative-x 2025-03-03T19:53:28.803292627Z Reflecting over y=-x Reflect a figure over the line y = -x in the plane and in algebraic coordinate notation. Sal Khan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Reflecting over y=-x Reflect a figure over the line y = -x in the plane and in algebraic coordinate notation. https://cdn.kastatic.org/ka-youtube-converted/EydeoSJ3248.mp4/EydeoSJ3248.mp4 244 Building advanced transformations https://www.khanacademy.org/math/math-1-illustrative-math-aligned/x193529144fa1e1f6:coordinate-geometry/x193529144fa1e1f6:transformations-as-functions/v/composing-transformations 2025-03-03T19:53:28.803292627Z Composing transformations Graph the image of a ray after the composition of a dilation and a rotation. Sal Khan video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Composing transformations Graph the image of a ray after the composition of a dilation and a rotation. https://cdn.kastatic.org/ka-youtube-converted/gYIBbDLYFY0.mp4/gYIBbDLYFY0.mp4 317 Building advanced transformations https://www.khanacademy.org/math/geometry-tx/x790e3ac3e338c450:transformations-in-the-plane/x790e3ac3e338c450:building-advanced-transformations/e/advanced-transformations 2025-04-28T23:58:11.044031691Z Advanced transformations Perform dilations and rotations by multiples of 90 degrees about points other than the origin, perform stretches, and reflect over the lines y=x and y=-x. Charlie Auen exercise