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Understanding Similarity in Geometry: Proportions and Scale Factors

Learn how to apply correct proportions and scale factors in similar polygons to solve for sides and angles. Discover the relation between scale factor and perimeters in similar shapes with practical examples and tips for fraction reduction.

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Understanding Similarity in Geometry: Proportions and Scale Factors

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  1. Similarity Essential Question: What is the correct proportion to apply when solving for a given side or angle.

  2. Similarity Similar Polygons - Polygons with the same angle measures and all sides are in proportion. Scale factor – ratio of the lengths of the corresponding sides of similar figures.

  3. Similarity Compare Waldo. Waldo’s 2nd picture is twice as big as his 1st. Scale factor 1:2.

  4. Similarity Diamonds are similar. Find the scale factor. Always reduce fractions. 15 50

  5. Similarity Perimeters with similarity – If two polygons are similar, then their perimeters are proportional to the scale factor. Scale factor 3:5 and the perimeter of the first shape is 30, then the perimeter of the 2nd shape is 50.

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