Compare rigid motions that preserve distance and angle measure (translations, reflections, rotations) to transformations that do not preserve both distance and angle measure (e.g. stretches, dilations).
Example Problems
A sequence of transformations is described below.
1. A reflection over a line
2. A dilation about the point P
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
1. A reflection over a line
2. A dilation about the point P
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
A sequence of transformations is described below.
1. A translation
2. A rotation about a point A
3. A reflection over a line
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
1. A translation
2. A rotation about a point A
3. A reflection over a line
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
A sequence of transformations is described below.
1. A rotation about a point S
2. A dilation about the same point S
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
1. A rotation about a point S
2. A dilation about the same point S
What must be preserved under this sequence of transformations: angle measures and/or segment lengths?
Khan Academy ResourcesProperties of translationsRotating shapes about the origin by multiples of 90°Translating shapesRotations introDetermining rotationsReflecting shapesTranslations introDetermining translationsPrecisely defining rotationsMapping shapesDetermine 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 rotationsIdentifying type of transformationDilating shapes: shrinkingAngle congruence equivalent to having same measureDilations: scale factorRigid transformations introDilating shapes: shrinking by 1/2Finding measures using rigid transformationsDetermining reflectionsDilations: centerSegment congruence equivalent to having same lengthReflecting shapesRotating shapesDilating pointsCongruent shapes & transformations
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