Unit 4: Similarity Honors Geometry

Review Test

8.1 Ratios and Proportions Objectives To write ratios and solve proportions To identify similar polygons To apply similar polygons

8.1 Ratios and Proportions A ratio is a comparison of two quantities. a to b a : b , b ≠ 0. A proportion is a statement that two ratios are equal. or

Properties of Proportions If then ad=bc (Cross Product Property)

AND: If , then…

Example – Solve 1.

Example – Solve 2.

Example – Solve 3.

8.2 Similar Polygons Similar Polygons - Two figures that have the same shape but not necessarily the same size Symbol: ~

Similar Polygons Two polygons are similar if and only if: Corresponding angles are congruent AND Corresponding sides are proportional Example:

Similarity Ratio (Scale Factor) The ratio of the lengths of corresponding sides is the similarity ratio 15 Similarity Ratio= 5

Example ∆ABC ~ ∆JKL Find the similarity Ratio of Find the value of x. Find m<J

Donald Duck in Mathmagic Land As we watch the video, be sure to fill out your worksheet Donald Duck in Mathmagic Land

Homework Worksheet