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7.1 Proportions

7.1 Proportions. 2. A pentagon has angles in a ratio of 3:3:4:3:5. Find each angle measure. 1. Solving proportions Solving problems with sides or angles in a given ratio. 3. A rectangle has sides in a ratio of 3:4 and an area of 150. Find the lengths of the sides. 7.2: Similar Polygons.

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7.1 Proportions

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  1. 7.1 Proportions 2. A pentagon has angles in a ratio of 3:3:4:3:5. Find each angle measure. 1. Solving proportions Solving problems with sides or angles in a given ratio. 3. A rectangle has sides in a ratio of 3:4 and an area of 150. Find the lengths of the sides.

  2. 7.2: Similar Polygons Corresponding angles are congruent. • Determine if two polygons are similar: • Write the similarity ratio. • Write a similarity statement. • Use proportions to find missing dimensions. Corresponding sides are proportional. Ratio of corresponding sides in simplest form. Quadrilateral ABCD ~ Quadrilateral DEFG. Remember corresponding parts must match and vertices must go around the figure..

  3. C S R B x-2 4 6 8 T 12 D 9 10 Q A y+3

  4. 7.4 Triangle Proportionality Theorems If then a a c c > > d d b b > > If then If then > c a > b d >

  5. 7.5: Proportional Relationships • Indirect measurements • Relationships between similarity ratio, ratio of perimeters and ratios of areas. 10 8 P=48 A=102

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