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Searching for ## Transformations

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Algebra Foundations

You get to learn how to transform figures in the plane, find the symmetry of a figure, or fill up the plane with polygons.

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After completing this tutorial, you will be able to complete the following:

- Explain transformations in the plane.

Which four types of transformations are discussed in the Animation?

~ The transformations discussed in the Animation are reflections, rotations, translations, and glide reflections.

For questions 2-5, consider the following diagram:

Which transformation transforms the white shape into the blue shape? Explain how you know this.

~ The blue shape and the white shape are symmetrical. Therefore, a reflection in a line transforms the white shape into the blue shape.

Which transformation transforms the white shape into the purple shape? Explain how you know this.

~ The white and purple shapes have the same direction, and they are not symmetrical. Only the position of the shapes is different. Therefore, a translation transforms the white shape into the purple shape.

Which transformation transforms the white shape into the pink shape? Explain how you know this.

~ We can see that both the direction and the position of the shape have changed when comparing the pink shape to the white shape. Therefore, a rotation transforms the white shape into the pink shape.

Which transformation transforms the white shape into the yellow shape? Explain how you know this.

~ The yellow shape and white shape are symmetrical, but the yellow shape is a translation of a reflection of the white shape. Therefore, a glide reflection transforms the white shape into the yellow shape.

Approximate Time | 2 Minutes |

Pre-requisite Concepts | Students should be able to define congruent figures, glide reflection, and reflection. |

Course | Algebra Foundations |

Type of Tutorial | Animation |

Key Vocabulary | glide reflection, reflection, rotation |