1. Introduction to Ratio, Proportion, and Similarity

2. Overview for the topic: - learn how to write and simplify ratios - learn how to determine whether two ratios are a proportion and how to use proportions to solve problems learn how to determine whether two triangles are similar

3. Ratio? What is a Ratio? A ratio is the comparison of two numbers using division. The ratio of x to y can be written or x:y. Ratios are usually expressed in simplest form.

5. Proportion? What is a Proportion? Since 2/4 and 3/6 are both equal to 1/2, they are equal to each other. A statement that two ratios are equal is called a proportion. A proportion can be written in one of the following ways: 2/4 =3/6or2:4 = 3:6

6. The first and last numbers in a proportion are called the extremes. The middle numbers are called the means. ProportionProportion

7. ProportionProportion In a proportion, the product of the means equals the product of the extremes. Means-Extremes Property

8. Triangle Similarity Two figures are similar if you can show that the following two statements are true: 1. Corresponding angles are congruent. 2. Corresponding sides are in proportion. 1. Corresponding angles are congruent. 2. Corresponding sides are in proportion.

10. Examples:

12. SOURCE:SOURCE: http://www.education.com/study-help/article/ratio- proportion-similarity/