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L1.10 - Rigid Transformations

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.

10.1: Notice and Wonder: Transformed

10.1: Notice and Wonder: Transformed

What do you notice? What do you wonder?

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10.2: What’s the Same?

Draw each rigid transformation. Use the Style Bar to choose a different color for each one.

1. Translate figure S along the line segment v in the direction shown by the arrow. Color:

2. Reflect figure S across line n. Color:

3. Reflect figure S across line m. Color:

4. Translate figure S along the line segment w in the direction shown by the arrow. Reflect this image across line n. Color:

5. How are the images the same? How are they different?

10.3: Does Order Matter?

Here is an applet with 3 congruent L shapes on a grid.

1. Describe a sequence of transformations that will take Figure A onto Figure B.

2. If you reverse the order of your sequence, will the reverse sequence still take A onto B?

3. Describe a sequence of transformations that will take Figure A onto Figure C.

4. If you reverse the order of your sequence, will the reverse sequence still take A onto C?

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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: How Will That Get There?

Reflect quadrilateral ABCD across line f.
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