Rigid Motion Transformations – Flashcards
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What are some rigid motion transformations?
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Rotations, reflections and translations are all considered rigid motion transformations.
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what defines a rigid motion transformation?
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The dilation of the shape stays the same no matter what.
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What is a translation?
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the points are always moved amongst parallel lines, equidistant shifts for each point. Preserves distance and angles.
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what is a rotation?
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A shape is rotated about a certain point. dilation stays the same, and it creates a concentric circle. Each rotation has an angle
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what is a reflection?
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A flip of the shape over a line, ( a line of reflection)
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What is a line of reflection?
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The perpendicular bisector of the segment joining the pre image to the image
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what is a mirror reflection followed by a translation parallel to the mirror. It has a mirror line and translation distance.
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a glide reflection
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What is it called when any way of moving all the points have
a) the relative distance between points stays the same and
b) the relative position of the points stays the same.
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It is called a rigid motion
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What can you determine with rigid motions?
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The congruence of two objects.
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When can you find congruence between two objects
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if and only if there exists one, or more, rigid motions which will map one figure onto the other.
