Rigid Transformations

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What is a Rigid Transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

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What are the four types of Rigid Transformations?

Back

Translation, Rotation, Reflection, and Glide Reflection.

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What is Translation in Rigid Transformations?

Back

A transformation that slides a figure from one position to another without turning it.

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What is Rotation in Rigid Transformations?

Back

A transformation that turns a figure around a fixed point called the center of rotation.

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What is Reflection in Rigid Transformations?

Back

A transformation that flips a figure over a line, creating a mirror image.

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What is the Image in Rigid Transformations?

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The new figure that results from applying a transformation to the original figure.

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What does it mean for figures to be Congruent?

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Figures that have the same shape and size, often resulting from rigid transformations.

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What is the Center of Rotation?

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The fixed point around which a figure rotates during a rotation transformation.

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What is a Glide Reflection?

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A combination of a translation followed by a reflection.

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How does a Rotation affect the coordinates of a point?

Back

A rotation changes the position of a point based on the angle of rotation and the center of rotation.