7.1 Proportions Solving proportions Solving problems with sides or angles in a given ratio. 2. A pentagon has angles in a ratio of 3:3:4:3:5. Find each angle measure. 1. 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 Determine if two polygons are similar: Write the similarity ratio. Write a similarity statement. Use proportions to find missing dimensions. Corresponding angles are congruent. 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..

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

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

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