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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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Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.

Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.

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