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Transformations

Discover the world of symmetry in geometry through reflections, rotations, and translations. Learn how to perform geometric reflections and rotations, and understand the concept of reflectional symmetry. Dive into the beauty of symmetrical objects like flowers, butterflies, and more.

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Transformations

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  1. Transformations

  2. Forest Symmetry

  3. 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.

  4. Lunch Time Horse Symmetry

  5. ButterflyApproximate Reflective Symmetry

  6. Emperor Moth

  7. Male SaturiniaPavonia

  8. Flower

  9. Flower of Orchid Bee

  10. Tiger is symmetrical

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

  12. 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.

  13. Rotations can be clockwise or counterclockwise. • Clockwise rotation • Counterclockwise rotation

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

  15. 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.

  16. Reflection

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