https://www.khanacademy.org/math/geometry/hs-geo-transformations/hs-geo-dilations/v/dilating-points-example 2023-05-12T21:01:01.897246564Z Dilating points Dilations are a way to stretch or shrink shapes around a point called the center of dilation. The amount we stretch or shrink is called the scale factor. If the scale factor is greater than 1, the shape stretches. If it's between 0 and 1, the shape shrinks. video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Dilating points Dilations are a way to stretch or shrink shapes around a point called the center of dilation. The amount we stretch or shrink is called the scale factor. If the scale factor is greater than 1, the shape stretches. If it's between 0 and 1, the shape shrinks. https://cdn.kastatic.org/ka-youtube-converted/N0_HfmxdbCg.mp4/N0_HfmxdbCg.mp4 187 Dilations 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/v/dilation-scale-factor 2023-05-12T21:01:01.897246564Z Dilations: scale factor Dilations make a shape bigger or smaller. A scale factor tells us how much to multiply by the side lengths to change the size. The scale factor is the ratio of the side length in the new shape (image) to the side length in the corresponding side in the original shape (pre-image). Each pair of corresponding sides has the same factor. video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Dilations: scale factor Dilations make a shape bigger or smaller. A scale factor tells us how much to multiply by the side lengths to change the size. The scale factor is the ratio of the side length in the new shape (image) to the side length in the corresponding side in the original shape (pre-image). Each pair of corresponding sides has the same factor. https://cdn.kastatic.org/ka-youtube-converted/b4ORXN7a0-w.mp4/b4ORXN7a0-w.mp4 299 Dilations 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/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 Dilations 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 Dilations 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/v/dilations-and-properties 2024-06-26T21:44:31.760146908Z Dilations and properties Dilations can change the lengths of a shape and its distance from the center, but they keep the angle measures the same. What does this mean about coordinates, side lengths, perimeter, and area? video https://cdn.kastatic.org/ka_thumbnails_cache/1da0483b-ef27-4a36-a3e5-92261a1796e2_1280_720_base.png Dilations and properties Dilations can change the lengths of a shape and its distance from the center, but they keep the angle measures the same. What does this mean about coordinates, side lengths, perimeter, and area? https://cdn.kastatic.org/ka-youtube-converted/chdnDLbSbU8.mp4/chdnDLbSbU8.mp4 323 Dilations 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