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Exploring Rotational Symmetry and Transformations in Geometry

This text delves into the concept of rotational symmetry and transformations, specifically focusing on rotations of geometric figures about the origin. It explains how to rotate shapes 90° and 180° in both clockwise and counterclockwise directions, emphasizing the changes in coordinates during these transformations. The discussion includes examples such as ambigrams and identifies figures like regular pentagons, rhombuses, and isosceles triangles that exhibit rotational symmetry, highlighting the conditions under which they map onto themselves.

kathleen-aughmuty
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Exploring Rotational Symmetry and Transformations in Geometry

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  1. Rotations

  2. Rotate 90 Clockwise about the Origin(Same as 270 Counterclockwise) Change the sign of x and switch the order

  3. Rotate 90° clockwiseabout the origin

  4. Rotate 90° clockwiseabout the origin

  5. Rotate 90 Counterclockwise about the Origin(Same as 270 Clockwise) Change the sign of y and switch the order

  6. Rotate 90° counterclockwiseabout the origin

  7. Rotate 90° counterclockwiseabout the origin

  8. Rotate 180about the Origin ONLY Change the signs

  9. Rotate 180° about the origin

  10. Rotate 180° about the origin

  11. Rotational Symmetry Any figure that can be turned or rotated less than 360° about a fixed point so that the figure looks exactly as it does in its original position.

  12. Ambigrams – Look the same right side up and upside down

  13. Rotational Symmetry in the parking lot

  14. Which figures have rotational symmetry? For those that do, describe the rotation that map the figure onto itself. Regular pentagon Rhombus Isosceles triangle

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