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Parallel lines are taken to parallel lines

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8.G.A.1.c

**8.G.A.1.c**: Parallel lines are taken to parallel lines. **8.G.A.1**: Verify experimentally the properties of rotations, reflections, and translations: a. Lines are taken to lines, and line segments to line segments of the same length. b. Angles are taken to angles of the same measure. c. Parallel lines are taken to parallel lines.

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8.G.A.1.c: Parallel lines are taken to parallel lines.
8.G.A.1: Verify experimentally the properties of rotations, reflections, and translations:
a. Lines are taken to lines, and line segments to line segments of the same length.
b. Angles are taken to angles of the same measure.
c. Parallel lines are taken to parallel lines.

What you'll learn

  1. State that rigid motions (translations, reflections, and rotations) map parallel lines to parallel lines
  2. Verify experimentally that the images of two parallel lines under a translation remain parallel, using coordinate examples or tracing paper
  3. Verify experimentally that the images of two parallel lines under a reflection remain parallel, using coordinate examples or geometry software
  4. Verify experimentally that the images of two parallel lines under a rotation remain parallel, using coordinate examples or geometry software
  5. Explain why rigid motions preserve parallelism by connecting angle preservation to the definition of parallel lines

Slides

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Parallel lines preserved

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