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Reflectional Symmetry

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Forest 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.

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Lunch Time Horse Symmetry

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Butterfly Approximate Reflective Symmetry

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Emperor Moth

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Male Saturinia Pavonia

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Flower

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Flower of Orchid Bee

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A tiger is symmetrical

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Transformations Overview Today’s Focus To * Reflection Other Transformations *Rotation *Translation *Dilation

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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.

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Rotations can be clockwise or counterclockwise. Clockwise rotation of 60° Counterclockwise rotation of 40°

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Translation A transformation that maps all points of a figure the same distance in the same direction.

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P Q P 'P ' Q 'Q ' A translation is a slide. It moves the pre image on a linear path, the same distance in the same direction.

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Constructing a Reflection One to One Mapping about a line of symmetry

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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.

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Reflection

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