Learning Goal
Part of: Understand similarity in terms of similarity transformations — 1 of 3 cluster items
Verify dilation properties
**HSG.SRT.A.1**: Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
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HSG.SRT.A.1: Verify experimentally the properties of dilations given by a center and a scale factor:
a. A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
b. The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
What you'll learn
- Define a dilation in terms of a center point and a scale factor
- Verify experimentally that a dilation takes a line not passing through the center to a parallel line
- Verify experimentally that a dilation leaves a line passing through the center unchanged
- Verify experimentally that the dilation of a line segment is longer or shorter in the ratio given by the scale factor
- Perform dilations on geometric figures using graph paper, tracing paper, or geometry software
- Distinguish dilations from rigid motions by recognizing that dilations change size but preserve shape
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises