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L1.13 - Incorporating Rotations

Learning Intentions and Success Criteria

We are learning to:
  • Comprehend that rigid transformations produce congruent figures by preserving distance and angles.
  • Draw the result of a transformation (in written language) of a given figure.
  • Explain (orally and in writing) a sequence of transformations to take a given figure onto another.
We are successful when we can:
  • Draw the figure's image after the transformation when given a figure and the description of a transformation.
  • Describe the sequence of transformations necessary to take a figure onto another figure.
  • Know that rigid transformations result in congruent figures.

13.1: Left to Right

13.1: Left to Right

What direction is the left hand flag rotating to the right hand flag?

What direction is the left hand flag rotating to the right hand flag?

13.2: Turning on a Grid

  1. Rotate ABCD 90 degrees clockwise around Q.
  2. Rotate ABCD 180 degrees around R.
  3. Rotate HJKLMN 120 degrees clockwise around O.
  4. Rotate HJKLMN 60 degrees counterclockwise around P.

13.3: Translate, Rotate, Reflect

Mai suspects triangle ABC is congruent to triangle DEF. She thinks these steps will work to show there is a rigid transformation from ABC to DEF.
  • Translate by directed line segment v.
  • Rotate the image ____ degrees counterclockwise around point D.
  • Reflect that image over line DE.
Draw each image and determine the angle of rotation needed for these steps to take ABC to DEF.
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Image

Learning Intentions and Success Criteria

We are learning to:
  • Comprehend that rigid transformations produce congruent figures by preserving distance and angles.
  • Draw the result of a transformation (in written language) of a given figure.
  • Explain (orally and in writing) a sequence of transformations to take a given figure onto another.
We are successful when we can:
  • Draw the figure's image after the transformation when given a figure and the description of a transformation.
  • Describe the sequence of transformations necessary to take a figure onto another figure.
  • Know that rigid transformations result in congruent figures.

Cool-Down: Find a Sequence

Describe the sequence of transformations to take ABCD onto A'B'C'D'.

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