M1.G.CO.A.1
Describe transformations as functions that take points in the plane (pre-image) as inputs and give other points (image) as outputs. Compare transformations that preserve distance and angle measure to those that do not, by hand for basic transformations and using technology for more complex cases.
Example Problems
Point G' is the image under the translation:
What are the coordinates of G'?
What are the coordinates of G'?
Point L' is the image of under the translation:
What are the coordinates of ?
What are the coordinates of ?
Point is the image under the translation by 9 units to the left and 1 unit down.
What are the coordinates of ?
What are the coordinates of ?
Khan Academy ResourcesProperties of translationsRotating shapes about the origin by multiples of 90°Translating shapesRotations introDetermining rotationsReflecting shapesTranslations introDetermining translationsPrecisely defining rotationsMapping shapesSequences of transformationsDetermine reflections (advanced)Reflect shapesDilations: scale factorRotate shapesCongruence & transformationsTranslate pointsFind measures using rigid transformationsDilate trianglesDefining transformationsDilations: centerDilate pointsIdentify transformations Reflect pointsRotate pointsRigid transformations: preserved propertiesDetermine reflectionsDetermine translationsTranslate shapesDilations and propertiesDetermine rotationsCorresponding parts of congruent triangles are congruentTriangle congruence postulates/criteriaWhy SSA isn't a congruence postulate/criterionTranslating shapesRotating pointsReflecting shapes: diagonal line of reflectionTranslating pointsDilating shapes: expandingReflecting pointsDetermining reflections (advanced)Determining translationsIdentifying transformationsDilations introMapping shapesTranslation challenge problemDefining transformationsNon-congruent shapes & transformationsDetermining rotationsSequences of transformationsIdentifying type of transformationDilating shapes: shrinkingAngle congruence equivalent to having same measureDilations: scale factorRigid transformations introDilating shapes: shrinking by 1/2Rigid transformations: preserved propertiesFinding measures using rigid transformationsDetermining reflectionsDilations: centerDilations and propertiesSegment congruence equivalent to having same lengthReflecting shapesRotating shapesDilating pointsCongruent shapes & transformations

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