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Geometry Week 9

QuestionAnswer
Rigid Transformation is a translation, rotation, or reflection. We sometimes also use the term to refer to a sequence of these.
Rotation has a center and a directed angle. It takes a point to another point on the circle through the original point with the given center. The two radii to the original point and the image make the given angle.
Reflection It takes a point to another point that is the same distance from the given line, is on the other side of the given line, and so that the segment from the original point to the image is perpendicular to the given line.
Translation using a directed line segment. It takes a point to another point so that the directed line segment from the original point to the image is parallel to the given line segment and has the same length and direction.
Symmetry if there is a rigid transformation which takes it onto itself (not counting a transformation that leaves every point where it is).
Rotational Symmetry if there is a rotation that takes the figure onto itself. (We don't count rotations using angles such as 0∘ and 360∘ that leave every point on the figure where it is.)
Reflective Symmetry if there is a reflection that takes the figure to itself.
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