'Unknown angle measures' diaporamas de présentation

Trigonometric Ratios

1.09k views • 48 slides

Trigonometric Ratios

609 views • 48 slides

Jeopardy

Jeopardy. 2. 1. 4. 3. 6. 5. 8. 7. 100. Describe the relationship of <1 and <5. 2. 1. 4. 3. 6. 5. 8. 7. 200. Describe the relationship of <4 and <5. 300. <1 and <2 are complementary, and m<2 = 71 ? . Find m<1. R. U. T. S. 400.

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11.4/5

Trigonometric Ratios. 11.4/5. Warm Up. Lesson Presentation. Lesson Quiz. Holt Geometry. Objectives. Find the sine, cosine, and tangent of an acute angle. Use trigonometric ratios to find side lengths and angle measures in right triangles and to solve real-world problems.

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11.4/5

Trigonometric Ratios. 11.4/5. Warm Up. Lesson Presentation. Lesson Quiz. Holt Geometry. Objectives. Find the sine, cosine, and tangent of an acute angle. Use trigonometric ratios to find side lengths and angle measures in right triangles and to solve real-world problems.

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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. Warm Up Tell whether the given angles are vertical, complementary, or supplementary. 1. ? QXT and ? QXR 2. ? QXR and ? TXS 3. ? PXQ and ? QXR 4. ? PXQ and ? PXS 5. ? TXS and ? SXR. supplementary. vertical.

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Warm Up

Preview. Warm Up. California Standards. Lesson Presentation. Warm Up Tell whether the given angles are vertical, complementary, or supplementary. 1. ? QXT and ? QXR 2. ? QXR and ? TXS 3. ? PXQ and ? QXR 4. ? PXQ and ? PXS 5. ? TXS and ? SXR. supplementary. vertical.

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Example 1

Example 1. SOLUTION. Use the law of cosines to find the length b . You need to find b , so use. –. b 2. a 2. +. c 2. 2 ac cos B. =. (. ). 7. Write law of cosines. (. ). –. b 2. a 2. +. c 2. 2 a c cos B. =. –. Substitute for a , c , and B. b 2. 7 2. +. 12 2.

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3-2

Angles Formed by Parallel Lines and Transversals. 3-2. Warm Up. Lesson Presentation. Lesson Quiz. Holt Geometry. Do Now Identify each angle pair. 1. ?1 and ?3 2. ?3 and ?6 3. ?4 and ?5 4. ?6 and ?7. Objective.

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California Standards

California Standards. MG2.2 Use the properties of complementary and supplementary angles and the sum of the angles of a triangle to solve problems involving an unknown angle. Also covered: AF1.1, MG2.1. Additional Example 1: Finding an Unknown Angle Measure

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8-3

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1.3d: Angle Pairs

1.3d: Angle Pairs. Common Core State Standards for Mathematical Content Congruence G-CO Prove geometric theorems [ Focus on validity of underlying reasoning while using variety of ways of writing proofs ].

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3-2

Angles Formed by Parallel Lines and Transversals. 3-2. Warm Up. Lesson Presentation. Lesson Quiz. Holt Geometry. Warm Up Identify each angle pair. 1. ?1 and ?3 2. ?3 and ?6 3. ?4 and ?5 4. ?6 and ?7. corr. ?s. alt. int. ?s. alt. ext. ?s. same-side int ?s. Objective.

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9-1 Introduction to Geometry 9-2 Measuring and Classifying Angles 9-3 Angle Relationships

Lesson Quizzes. Preview. 9-1 Introduction to Geometry 9-2 Measuring and Classifying Angles 9-3 Angle Relationships 9-4 Finding Angle Measures 9-5 Classifying Polygons 9-6 Classifying Triangles 9-7 Angle Measures in Triangles 9-8 Classifying Quadrilaterals

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9-1 Introduction to Geometry 9-2 Measuring and Classifying Angles 9-3 Angle Relationships

Lesson Quizzes. Preview. 9-1 Introduction to Geometry 9-2 Measuring and Classifying Angles 9-3 Angle Relationships 9-4 Finding Angle Measures 9-5 Classifying Polygons 9-6 Classifying Triangles 9-7 Angle Measures in Triangles 9-8 Classifying Quadrilaterals

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Law of Cosines

Law of Cosines. Section 12-3.

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Drill: Monday, 11/7 Identify each angle pair. 1. ?1 and ?3 2. ?3 and ?6 3. ?4 and ?5 4. ?6 and ?7

Drill: Monday, 11/7 Identify each angle pair. 1. ?1 and ?3 2. ?3 and ?6 3. ?4 and ?5 4. ?6 and ?7 OBJ: Prove theorems about the angles formed by parallel lines and a transversal. Angles Formed by Parallel Lines and Transversals. 3-2. Warm Up. Lesson Presentation. Lesson Quiz.

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12.1 Complementary and Supplementary Angles Homework: p689, #12-22 even

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Warm Up Identify each angle pair. 1. ?1 and ?3 2. ?3 and ?6 3. ?4 and ?5 4. ?6 and ?7

Warm Up Identify each angle pair. 1. ?1 and ?3 2. ?3 and ?6 3. ?4 and ?5 4. ?6 and ?7. corr. ?s. alt. int. ?s. alt. ext. ?s. consecutive int ?s. Angles and Parallel Lines. Section 3-2. Parallel Lines cut by a Transversal. Corresponding angles are congruent.

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Lesson Quiz

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