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ZingPath: Transformations

Transformations

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Transformations

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Lesson Focus

Transformations

Algebra Foundations

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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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Now You Know

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

  • Explain transformations in the plane.

Everything You'll Have Covered

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.

Tutorial Details

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