https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-rigid-transformations-overview/e/find-measures-using-rigid-transformations 2026-04-29T23:20:35.778723808Z Find measures using rigid transformations Use your knowledge about the effects of rigid transformations to solve problems about figures and their images under transformations. Tomer Gal exercise https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-rigid-transformations-overview/v/finding-measures-using-rigid-transformations 2023-05-12T21:01:01.897246564Z Finding measures using rigid transformations Finding measures after a rigid transformation, like a reflection, is pretty simple! Since the shape and size stay the same, the lengths of corresponding sides and angle measures remain unchanged. Area and perimeter depend on the side lengths, so they stay the same too. So, if we know the measures of the original figure, we can use those same measures for the transformed figure. video https://cdn.kastatic.org/ka_thumbnails_cache/51697eab-eebf-4dcb-933f-db152f9b621f_1280_720_base.png Finding measures using rigid transformations Finding measures after a rigid transformation, like a reflection, is pretty simple! Since the shape and size stay the same, the lengths of corresponding sides and angle measures remain unchanged. Area and perimeter depend on the side lengths, so they stay the same too. So, if we know the measures of the original figure, we can use those same measures for the transformed figure. https://cdn.kastatic.org/ka-youtube-converted/7y4FGCvNgB8.mp4/7y4FGCvNgB8.mp4 296 Properties & definitions of transformations https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-rigid-transformations-overview/v/rigid-transformations-preserved-properties 2023-05-12T21:01:01.897246564Z Rigid transformations: preserved properties Rigid transformations, like rotations and reflections, change a shape's position but keep its size and shape. These transformations preserve side lengths, angle measures, perimeter, and area. But they might not keep the same coordinates or relationships to lines outside the figure. video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Rigid transformations: preserved properties Rigid transformations, like rotations and reflections, change a shape's position but keep its size and shape. These transformations preserve side lengths, angle measures, perimeter, and area. But they might not keep the same coordinates or relationships to lines outside the figure. https://cdn.kastatic.org/ka-youtube-converted/brccWoewXiI.mp4/brccWoewXiI.mp4 420 Properties & definitions of transformations https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-rigid-transformations-overview/e/transformation-preserved-properties 2022-09-10T02:03:40.164764806Z Rigid transformations: preserved properties Identify which properties of shapes remain the same after a rigid transformation (reflection, rotation, translation) has been applied. Lindsay exercise https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-rigid-transformations-overview/v/mapping-shapes 2023-05-12T21:01:01.897246564Z Mapping shapes Let's find the right sequence of rigid transformations (like rotations, translations, and reflections) to map one triangle onto another. Different sequences can work, but order matters. So, it's important to test each one to see if it maps the triangles correctly. video https://cdn.kastatic.org/ka_thumbnails_cache/8c10c7f6-8e7c-492d-b81d-2ce33c9a8b17_1280_720_base.png Mapping shapes Let's find the right sequence of rigid transformations (like rotations, translations, and reflections) to map one triangle onto another. Different sequences can work, but order matters. So, it's important to test each one to see if it maps the triangles correctly. https://cdn.kastatic.org/ka-youtube-converted/QOXBJ2X1_9k.mp4/QOXBJ2X1_9k.mp4 531 Properties & definitions of transformations https://www.khanacademy.org/math/geometry/xff63fac4:hs-geo-transformation-properties-and-proofs/hs-geo-rigid-transformations-overview/e/mapping-shapes 2026-02-13T21:20:35.685808033Z Mapping shapes Describe sequences of rigid transformations (translations, rotations, and/or reflections) that will map a given shape onto another. Tomer Gal exercise