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Transformations. Forest Symmetry. Reflectional Symmetry.
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Reflectional Symmetry • A reflection is an isometry, which means the original and image are congruent, that can be described as a "flip". To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite.
Transformations Overview Today’s Focus To *Reflection Other Transformations *Rotation *Translation *Dilation
Rotation A rotation is a transformation in which a figure is turned about a fixed point. The fixed point is the center of rotation. Rays drawn from the center of rotation to a point and its image form an angle called the angle of rotation.
Rotations can be clockwise or counterclockwise. • Clockwise rotation • Counterclockwise rotation
Translation • A transformation that maps all points of a figure the same distance in the same direction.
Reflectional Symmetry Constructing a Reflection • A reflection can be described as a "flip". To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite. • One to One Mapping about a line of symmety.