PPT-Proportions and Similar Figures

Proportions and Similar Figures What is Similarity Not Similar Similar Similar Not Similar Similar Triangles Similar Figures Figures that have the same shape but not necessarily the same size are. Objectives. Learn to . write and solve problems using proportions. . Proportions. Proportions are frequently used to solve problems in mathematics.. Proportional reasoning can be applied in many situations, including reading and drawing maps, architecture, and construction. . Investigation . 2. YMLA Pre AP Math. In this investigation, you will explore how some properties of a . shape change . when the shape is enlarged or reduced.. 2.1 Similar Figures. Zack . and Marta want to design a computer game that involves . An introduction. Ratios express . relationships. 1 dozen eggs . $2.50. 2 cups of flour. 1 cake. This expresses the relationship that 1 dozen eggs cost $2.50. . This expresses the relationship that 2 cups of flour are needed to make 1 cake. Proportions. What are proportions?. - If two ratios are equal, they form a proportion. Proportions can be used in geometry when working with similar figures.. What do we mean by similar?. - Similar describes things which have the same shape but are not the same size.. Remember to Silence Your Cell . Phone and Put It In Your Bag!. Proportional Variance. Two quantities . vary proportionally. iff as their corresponding values increase or decrease, the ratios of the two quantities are always equivalent.. (Not exactly the same, but pretty close!). Let’s do a little review work before discussing similar figures.. Congruent Figures. In order to be congruent, two figures must be the same size and same shape.. Statistics. What you will learn. Be able to state the null and alternative hypotheses for testing the difference between two population proportions.. Know how to examine your data for violations of conditions that would make inference about the difference between the two population proportions unwise or invalid.. Section 2-8. Goals. Goal. To find missing lengths in similar figures.. To use similar figures when measuring indirectly.. Rubric. Level 1 – Know the goals.. Level 2 – Fully understand the goals.. 3/28/17. How do we write ratios?. How do we write and simplify rates?. How do we decide whether two ratios/rates are proportional?. Today We’ll Discuss. Definition:. The . ratio. of two numbers . two-proportion inference tests. Chapter 22. Proportions observed in independent random samples . are. independent. Thus, we can add their variances. So…. The standard deviation of the difference between two sample proportions is . Difference Between Proportions. Sometimes we want to see if there is a significant difference between independent groups.. Control group vs. treatment group or placebo group. Men vs. women. Last year vs. this year. Jiannan. Wang (. Tsinghua. , China) . Guoliang. Li (. Tsinghua. , China). Jeffrey . Xu. Yu (CUHK, HK, China). Jianhua. . Feng. (. Tsinghua. , China). Entity Matching. 2011/8/30. Find records referring to the same entity. 1) A sailboat and its model are shown at the right. What is the length of the model sailboat?. 18 feet. 25 feet. ??. 10. f. t.. ANSWER : 7.2 feet. SIMILAR FIGURES :. . have the same shape, though not necessarily the same size. . Proportion – Learning Outcomes Express quantities as proportions of each other using fractions, decimals, ratios, and percentages. Divide quantities into a given proportion. Express errors as a proportion.