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Example 1: Using Similarity Statements
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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
You Try!
Finding Perimeters & Areas of Similar Polygons
Example 5: Finding Areas of Similar Polygons
You Try!
Example 6: Deciding whether Polygons are Similar
You Try!