Similar PolygonsNOTES 8.1

Goals1) Use Similarity Statements2) Find corresponding lengths in similar polygons3) Find perimeters & areas of similar polygons4) Decide whether polygons are similar

Using Similarity Statements

Example 1: Using Similarity Statements

You Try!1. In the diagram, ∆JKL~∆PQR. Find the scale factor from ∆JKL to ∆PQR. Then list all pairs of congruent angles and write the ratios of the corresponding side lengths in a statement of proportionality.

Scale Factor: 6/9 = 2/3; 4/6 = 2/3; 8/12 = 2/3 The Scale Factor is 2/3

Congruent Angles:

Proportionality Statement:

Finding Corresponding Lengths in Similar Polygons

Example 2: Finding Corresponding Length

Example 3: Finding Corresponding Length

You Try!

Finding Perimeters & Areas of Similar Polygons

Example 4: Modeling with Mathematics

Example 4: Modeling with Mathematics

Example 4: Modeling with Mathematics

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Finding Perimeters & Areas of Similar Polygons

Example 5: Finding Areas of Similar Polygons

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Example 6: Deciding whether Polygons are Similar

You Try!