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8.2: Similar Polygons. Objective : Students will be able to… I dentify and apply similar polygons. Similar Polygons (~). Same shape but not necessarily the same size Two Polygons are similar if: Corresponding angles are congruent Corresponding sides are proportional
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8.2: Similar Polygons Objective: Students will be able to… Identify and apply similar polygons
Similar Polygons (~) • Same shape but not necessarily the same size Two Polygons are similar if: • Corresponding angles are congruent • Corresponding sides are proportional Similarity Ratio: ratio of the corresponding sides of similar figures
ABCD ~ EFGH (this is called a similarity statement) 8 B C 4 F G 6 127° 6 3 3 53° A D E H 8 4 Find the following: m E 3. 2.m B 4. Similarity Ratio=
Determining Similarity and Writing Similarity Ratios B E 16 20 15 12 corresponds to: corresponds to: corresponds to: • Corresponding Angles are congruent Similarity ratio: Similarity statement: F A C D 24 18
Using Similar Figures 2 N O x LMNO ~ QRST Find x and y: T S 3.2 y L R M Q 6 5