Lines are taken to lines, and line segments to line segments of the same length

Start lessonBegins with Lines segments preserved · Slides

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8.G.A.1.a

**8.G.A.1**: Verify experimentally the properties of rotations, reflections, and translations: **8.G.A.1.a**: Lines are taken to lines, and line segments to line segments of the same length.

8.G.A.1: Verify experimentally the properties of rotations, reflections, and translations:
8.G.A.1.a: Lines are taken to lines, and line segments to line segments of the same length.

What you'll learn

Demonstrate experimentally that the image of a straight line under any rigid motion (translation, reflection, or rotation) is still a straight line -- never a curve
Verify by measurement that a line segment and its image under any rigid motion have the same length
Explain in their own words why rigid motions are called "distance-preserving" transformations, connecting the length-preservation property to the definition of rigid motion
Distinguish rigid motions from non-rigid transformations (such as dilation) by identifying whether length is preserved, using measurement or coordinate calculations
Apply the line-preservation and length-preservation properties to predict and verify the images of line segments and lines under specific translations, reflections, and rotations

Review first:

Verify experimentally the properties of rotations, reflections, and translations

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Lines segments preserved

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Practice

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Exercise

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