Ratios and Proportions

Slides:

Advertisements

Similar presentations

CN #3 Ratio and Proportion

Advertisements

Using Cross Products Lesson 6-4. Cross Products When you have a proportion (two equal ratios), then you have equivalent cross products. Find the cross.

7-1 Ratio and Proportion Warm Up Lesson Presentation Lesson Quiz

Objectives Write and simplify ratios.

Algebraic Proofs. Warm Up Solve each equation. 1. 3x + 5 = r – 3.5 = t – 7 = 8t (y – 5) – 20 = 0 x = 4 r = 12.2 n = –38 y = 15.

Holt Geometry 2-5 Algebraic Proof 2-5 Algebraic Proof Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

2-5 Reasoning with Properties from Algebraic Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

6.2 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Use Proportions to Solve Geometry Problems.

For numbers 1 & 2 Solve for x and give a reason listed below for each step 1)4m - 8 = -12 2)6r – 3 = -2 ( r + 1 )

Holt McDougal Geometry 10-1 Developing Formulas Triangles and Quadrilaterals 10-1 Developing Formulas Triangles and Quadrilaterals Holt Geometry Warm Up.

Holt Geometry 7-1 Ratio and Proportion 7-1 Ratio and Proportion Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.

Holt Geometry 2-5 Algebraic Proof Warm Up Solve each equation. 1. 3x + 5 = t – 7 = 8t (y – 5) – 20 = 0 x = 4 n = –38 y = 15 t = – 5252.

Map scales A scale drawing is a drawing in which all dimensions have been reduced in exactly the same proportion. For example, if a model boat is made.

Geometry Chapter 7 section 1.

Using the Quadratic Formula

Placing Figures in the Coordinate Plane

1. a. Add. Post. b. Subst. Prop. c. Simplify.

Constructing Parallel and Perpendicular Lines

2-5 Algebraic Proof Warm Up Lesson Presentation Lesson Quiz

Solving Multi-Step Inequalities

Special Parallelograms

Properties of Parallelograms

Properties or Parallel Lines

Areas of Parallelograms and Triangles

Slope-Intercept Form pages 294–296 Exercises 1. –2; 1 2. – ; ; –

Quadrilaterals II Geometry – Unit 6.

2-5 Algebraic Proof Warm Up Lesson Presentation Lesson Quiz

Proving that a Quadrilateral Is a Parallelogram

Proportions in Triangles

Pythagorean Theorem and its Converse

Vectors Pages Exercises , –307.3, –54.2

Parallel and Perpendicular Lines

Inequalities in Triangles

Proportions Determine if the ratios can form a proportion. , b. a.

Classifying Quadrilaterals

Space Figures and Drawings

Holt McDougal Geometry 9-1 Developing Formulas for Triangles and Quadrilaterals 9-1 Developing Formulas for Triangles and Quadrilaterals Holt Geometry.

Similar Polygons Pages Exercises 1. JHY 2. R 3. JXY 4. HY

Solving Two-Step Equations

Volume of Pyramids and Cones

2-5 Algebraic Proof Warm Up Lesson Presentation Lesson Quiz

Areas of Trapezoids, Rhombuses, and Kites

Division Properties of Exponents

Chapter 2.5 Reasoning in Algebra and Geometry

Slopes of Parallel and Perpendicular Lines

Zero and Negative Exponents

2-5 Algebraic Proof Warm Up Lesson Presentation Lesson Quiz

Solving Multi-Step Equations

Warm Up Solve each equation. 1. 3x + 5 = r – 3.5 = 8.7

2-5 Algebraic Proof Warm Up Lesson Presentation Lesson Quiz

Exponents and Order of Operations

2-5 Algebraic Proof Warm Up Lesson Presentation Lesson Quiz

Choosing a Model pages 563–566 Exercises 1. quadratic 2. linear 3.

Warm Up Solve each equation. 1. 3x + 5 = r – 3.5 = 8.7

Proving Lines Parallel

Similarity in Right Triangles

The Distance and Midpoint Formulas

The Tangent Ratio Pages Exercises 1. ; 2 2. ; 3. 1;

Proportions and Similar Figures

Proportions and Percent Equations

Solving One-Step Equations

Quadrilaterals 4 sided shapes.

Solving Rational Equations

9-1 Developing Formulas for Triangles and Quadrilaterals

2-5 Algebraic Proof Warm Up Lesson Presentation Lesson Quiz

Objective SWBAT use the properties of equality to write algebraic proofs. HW Page 107 {3-15 odd, 23, 25, 31}

Completing the Square pages 544–546 Exercises , – , –2

Warm Up Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = b = 21, c = a = 20, c = 52 c.

2-5 Algebraic Proof Warm Up Lesson Presentation Lesson Quiz

Presentation transcript:

Ratios and Proportions GEOMETRY LESSON 8-1 Pages 418-421 Exercises 1. 1 : 1000 2. 1 : 370 3–11. Answers may vary. Samples are given. 3. 3b 4. 5. 6. 4 3 b a 7. 8. 4a 9. 10. 11. 12. 4 13. 1 14. 4 7 b + 4 2 15. 6.875 16. 7.2 17. 7.2 18. 7.5 19. 14 20. 7 21. 125 mi 22. about 75 mi 8-1

Ratios and Proportions GEOMETRY LESSON 8-1 23. about 135 mi 24. about 67.5 mi 25. 18 in. by 22.5 in. 26. 13 : 6 27. 5 : 4 28. 4 : 3 29. 30. 31. 32. 33. 34. Check students’ work. 35. 6 36. 32 37. 16.5 38. 6 39. 4 40. 41. 7 42. 43. 16 cm 44. 0.348 in. 45. 9; 18 46. 9; 12 47. 8; 21 5 48 7 3 9 4 30 18 b 2 12 19 25 8-1

Ratios and Proportions GEOMETRY LESSON 8-1 48–51. Answers may vary. Samples are given. 48. 49. 50. 51. 52. Elaine did not convert units, and thought the ratios equaled 1. 53. or 54. or 55. b d a c c + 2d 8-1

Ratios and Proportions GEOMETRY LESSON 8-1 a b c d 56. = (Given); ad = bc (Cross-Product Prop.); bc = ad (Symm. Prop. of =); = (Div. Prop. of =); = (Simplify) 57. = (Given); ad = bc (Cross-Prod. Prop.); = (Div. Prop. of =); = (Simplify) 58. = (Given); + 1 = + 1 (Add. Prop. of =); + = + (Subst.); = (Simplify) 59. x = 5; y = 24 60. x = 3; y = 15 61. x = 3; y = 21 62. C 63. G 64. D 65. H 66. [2] a. = (OR equivalent proportion) b. 135 km bc ac ad ac b a d c a b c d ad cd bc cd a c b d a b c d a b c d 2.75 16 23.2 x a b b c d d a + b b c + d d 8-1

Ratios and Proportions GEOMETRY LESSON 8-1 66. (continued) [1] incorrect proportion OR incorrect distance 67. 60% 68. 25% 69. parallelogram 72. rhombus, parallelogram 73. I and III 74. II and III 75. a. If an is not acute, then it does not measure between 0 and 90. 70. trapezoid 71. rectangle, parallelogram 8-1

Ratios and Proportions GEOMETRY LESSON 8-1 75. (continued) b. If an does not measure between 0 and 90, then it is not acute. 76. a. If two lines are not ||, then they are not coplanar. b. If two lines are not coplanar, then they are not ||. 77. a. If two are not compl., then the are not both acute. b. If two are not both acute, then they are not compl. s 8-1