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Reflectional Symmetry. Forest Symmetry Reflectional Symmetry A reflection is an isometry, which means the original and image are congruent, that can.

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Presentation on theme: "Reflectional Symmetry. Forest Symmetry Reflectional Symmetry A reflection is an isometry, which means the original and image are congruent, that can."— Presentation transcript:

1 Reflectional Symmetry

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 Butterfly Approximate Reflective Symmetry

6 Emperor Moth

7 Male Saturinia Pavonia

8 Flower

9 Flower of Orchid Bee

10 A 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 of 60° Counterclockwise rotation of 40°

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

15 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.

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

17 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.

18 Reflection

19


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