PPT-Proportions in Triangles

Watch for Parallel Lines Transversals and Angle Bisectors   Side Splitter Theorem related to Midsegment Theorem If a line is parallel to ONE side of a triangle AND intersects the other two sides then it divides those other TWO sides proportionally. A geometric realization of a proof in . H. Wu’s “Teaching Geometry According to the Common Core Standards”. B. A. C. c. a. b. Given a right triangle . . ABC with legs . a. and . b. and hypotenuse . SPI 6.1.1 Predictions & Conjectures. SPI 6.2.6 Rates & Percents. What is a proportion?. A . proportion. is 2 equivalent ratios.. . Example. : . 6 . = . 3. 20 10. What is a ratio?. A . Ciera. , Miguel, Win. Introduction. What . is anatomy?. The structure of the human body. . It . consists of muscles, skeleton, and proportions.. Introduction. Why is it important?. -To grasp the foundations of not only the human body, but also the proportions.. 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.. 4.2. SSS Postulate (Just call it SSS). If . three sides of one triangle . are congruent to. three sides of another triangle, . then the triangles are congruent.. SAS Postulate (Just call it SAS). If . Lesson 5.2: Proportions. Chapter Five: Ratios and Proportions. Lesson 5.2: Proportions. Chapter Five: Ratios and Proportions. Lesson 5.2: Proportions. Chapter Five: Ratios and Proportions. Lesson 5.2: Proportions. 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 . Yawn Seed?. Subject. Yawned?. Yes. No. Total. Yes. 10. 4. 14. No. 24. 12. 36. Total. 34. 16. 50. Trial. Number who yawned in yawn seed group. Number who yawned in no yawn seed group. Difference in proportions (yawn. Objectives:. Find the measures of interior and exterior angles of triangles.. Apply theorems about the interior and exterior angles of triangles.. Supplies: Math Notebook. Textbook. Assignment: p. 228 #15-23(skip 17), 29-32. Using Congruent Triangles. Congruent triangles have congruent corresponding parts. So, if you can prove the two triangles are congruent then you know their corresponding parts must be congruent as well.. Objective. :. To understand and apply properties of isosceles and equilateral triangles.. Supplies. :. Math Notebook. Assignment: 4.8 p. 276: 1-10, 12-16, 22-26. 4.8: Isosceles & Equilateral Triangles. Lewis Carroll/Charles Dodgson. Some . fun facts:. .. as a mathematician, Dodgson was, in the words of . . Peter Heath: "An inveterate publisher of trifles [who] was forever putting out pamphlets, papers, broadsheets, and books on mathematical topics [that] earned him no reputation beyond that of a crotchety, if sometimes amusing, controversialist, a compiler of puzzles and curiosities, and a busy yet ineffective reformer on elementary points of computation and instructional method. In the higher reaches of the subject he made no mark at all, and has left none since." . 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. Magic Triangles. There are 3 magic triangles, two of which are on your formula sheet. They let you do some trigonometric equations without calculators. These are a fundamental part of ”exact solutions” .