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Learning Goal

Part of: Understand similarity in terms of similarity transformations2 of 3 cluster items

Explain similarity transformations

HSG.SRT.A.2

**HSG.SRT.A.2**: Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

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HSG.SRT.A.2: Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

What you'll learn

  1. Define similarity transformations as sequences of rigid motions followed by dilations
  2. Use the definition of similarity to determine if two figures are similar
  3. Explain why similar triangles have equal corresponding angles and proportional corresponding sides
  4. Distinguish between congruence (rigid motions only) and similarity (rigid motions plus dilation)
  5. Apply similarity transformations to verify that two given figures are similar
  6. Articulate the formal definition of similarity in terms of transformations

Slides

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Slide Video

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Exercises

Practice problems to build fluency and understanding • 1 exercises