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Investigating Properties of Parallelism & the Center (5.2.1)

This article explores the properties of parallelism and the center in relation to rigid motions and dilations. It discusses how dilations preserve size, shape, orientation, and angle measures, and how corresponding sides and points are parallel and collinear with the center.

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Investigating Properties of Parallelism & the Center (5.2.1)

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  1. Investigating Properties of Parallelism & the Center (5.2.1) • April 12th, 2016

  2. A rigid motion is a transformation that preserves size and shape. • A dilation is a transformation in which a figure is either enlarged or reduced by a scale factor in relation to a center point. • The scale factor is the ratio of corresponding side lengths: length of image side,____ length of preimage side,

  3. Properties of Dilations • Must preserve shape, orientation, and angle measures • All sides change by a single scale factor, k • Corresponding sides are parallel • Corresponding points of the figure are collinear with the center of dilation • The scale factor, k, takes a point P and moves it along a line in relation to the center so that

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