https://www.khanacademy.org/math/geometry-home/transformations/dilations-scaling/v/dilating-from-an-arbitrary-point-example 2023-05-12T21:01:01.897246564Z Performing dilations To dilate a point on a coordinate plane, you multiply its coordinates by a scale factor. The scale factor is a positive number that tells you how much to enlarge or shrink the point. If the scale factor is greater than 1, the point moves away from the origin. If the scale factor is less than 1, the point moves closer to the origin. Sal Khan video https://cdn.kastatic.org/googleusercontent/BMPbSDoJUCKYp78aL0a-w8jdM7Ot4otnUXRfXZoXDGnK8kUXQhhNFW2wTPWKWj1i0kjfBBuXEfdkO9rTENIsDxcFdA Performing dilations To dilate a point on a coordinate plane, you multiply its coordinates by a scale factor. The scale factor is a positive number that tells you how much to enlarge or shrink the point. If the scale factor is greater than 1, the point moves away from the origin. If the scale factor is less than 1, the point moves closer to the origin. https://cdn.kastatic.org/ka-youtube-converted/j5xis6Hlnds.mp4/j5xis6Hlnds.mp4 166 Transformation by enlargement https://www.khanacademy.org/math/cc-eighth-grade-math/geometric-transformations/8th-dilations/v/scaling-down-a-triangle-by-half 2023-05-12T21:01:01.897246564Z Dilating shapes: shrinking by 1/2 Dilations are transformations that change the size of a shape and its distance from the center of dilation. When the center is the origin, we can change the distance by multiplying the x- and y-coordinates by the scale factor. That's how we find the new positions of the points after dilation. Sal Khan video https://cdn.kastatic.org/googleusercontent/61GLNOeu9Xvkw9tNtkVAYLU2KPkjoO0If5hxxOIfhkMdznWw1YFa_AL_V63rYi8-Rv4zcGHoZKhteRaqccetRVA Dilating shapes: shrinking by 1/2 Dilations are transformations that change the size of a shape and its distance from the center of dilation. When the center is the origin, we can change the distance by multiplying the x- and y-coordinates by the scale factor. That's how we find the new positions of the points after dilation. https://cdn.kastatic.org/ka-youtube-converted/qlWZJ21O63s.mp4/qlWZJ21O63s.mp4 146 Transformation by enlargement https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-dilations/v/thinking-about-dilations 2023-05-12T21:01:01.897246564Z Dilating shapes: expanding Let's dilate a rectangle around a point P using a scale factor 1 2/3. This changes the size of the rectangle while keeping its shape. Because 1 2/3 is bigger than 1, most of the points get farther from P. Point P stays in place, because a distance of 0 times any scale factor is still 0. Sal Khan video https://cdn.kastatic.org/googleusercontent/eJ0ujicJxWleCFPYnHJObwHRlmrxSg4avLuQ3GrdBJHtk4EI_DeMFHol8Dm3vW8BQeZF6FyzfMPhmWyUYGuloJ1v Dilating shapes: expanding Let's dilate a rectangle around a point P using a scale factor 1 2/3. This changes the size of the rectangle while keeping its shape. Because 1 2/3 is bigger than 1, most of the points get farther from P. Point P stays in place, because a distance of 0 times any scale factor is still 0. https://cdn.kastatic.org/ka-youtube-converted/6dyWKD_JPhI.mp4/6dyWKD_JPhI.mp4 159 Transformation by enlargement https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-dilations/e/performing-dilations 2026-04-08T00:16:02.937952483Z Dilate points Use the interactive transformation tool to perform dilations. Tomer Gal exercise https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-dilations/e/defining-dilations-2 2026-03-25T12:10:34.88329628Z Dilations: scale factor Find both the center and the scale factor of a dilation that maps a given figure to another one. Tomer Gal exercise https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-dilations/e/dilations-center 2023-07-03T04:14:08.892509966Z Dilations: center Given a figure and its image under a dilation, determine the dilation's center point. Tomer Gal exercise https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-dilations/e/dilations 2026-04-08T00:16:02.937952483Z Dilate triangles Given a figure and a definition of a dilation, select or manually draw the image. Tomer Gal exercise https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/xff63fac4:hs-geo-dilation-preserved-properties/e/dilations-preserved-properties 2022-09-10T02:03:40.164764806Z Dilations and properties Given a shape and the dilation that is performed on it, determine which properties the shape and its image share. Tomer Gal exercise