Rigid Motions

kathleenh, Sep 28, 2020

Rigid Motions

Table of Contents

  1. Transformations Overview
    1. Transformations Overview
  2. Translations
    1. Translating a Triangle
    2. Translating Shapes - Vectors
  3. Rotations
    1. Rotations
    2. Rotations - Exploration Activity
  4. Reflections
    1. Reflection Rules
    2. Reflections - Exploration Activity

1.

Transformations Overview

  • 1. Transformations Overview

1.1.

Transformations Overview

Describing Transformations[br][br]Rotation - centre, angle & direction (clockwise or anti-clockwise)[br]Reflection - the line of reflection[br]Enlargement - centre & scale factor[br]Translation - vector
– kathleenh, DavidA

2.

Translations

  • 1. Translating a Triangle
  • 2. Translating Shapes - Vectors

2.1.

Translating a Triangle

Transformations - Translation
– kathleenh, Lorena Mendoza

2.2.

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3.

Rotations

  • 1. Rotations
  • 2. Rotations - Exploration Activity

3.1.

Rotations

Questions to Consider
1. Move the points A, B and C on the preimage. What do you notice?[br][br]2. What do you notice about how the coordinates change with each rotation? Are there any patterns?[br][br]3. Select Point A rotation. What is the slope of the line from A to A'180? What is the slope of the line from A'90 to A'270? How are these lines related?[br][br]4. Still leaving Point A rotation selection, move point A to (3,5). To go from point O to point A, you would then move UP 3 UNITS and RIGHT 5 units. How would you move to get from point O to point A'180? What are you noticing?[br][br]4. Leave Point A rotation selected and point A at (3,5). To go from point O to point A'90, you would go UP 3 UNITS and LEFT 5 UNITS. How would you move to get from point O to point A'270? What are you noticing?[br][br]5. If you know the movement from point O to point A, summarize how you can find A'90, A'180 and A'270 starting at point O.
– kathleenh

3.2.

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4.

Reflections

  • 1. Reflection Rules
  • 2. Reflections - Exploration Activity

4.1.

Reflection Rules

Move Point A by changing the coordinates on the sliders. Check the boxes to see how point A will reflect across the x-axis, y-axis, y=x and y=-x.
– kathleenh

4.2.

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Information