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GBK Geometry

GBK Geometry. Jordan Johnson. Today’s plan. Greeting Review Asg #77: From Chapter 11, Lesson 5, do: Set I Exercises 1-28 Set II Exercises 36-40 Due Monday, 5/20 . Lesson: Chapter Review Homework / Questions Clean-up. Ch. 11 Test: Right Triangles. Altitude to the hypotenuse:.

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GBK Geometry

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  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Review Asg #77: From Chapter 11, Lesson 5, do: • Set I Exercises 1-28 • Set II Exercises 36-40 • Due Monday, 5/20. • Lesson: Chapter Review • Homework / Questions • Clean-up

  3. Ch. 11 Test: Right Triangles Altitude to the hypotenuse:

  4. Ch. 11 Test: Right Triangles The Pythagorean Theorem: Any two sides  third side ? z z y y ? x x ?

  5. Unit 11 Test: Right Triangles The Pythagorean Theorem’s Converse: If a, b, and c are triangle sides & c > a and c > b: a2 + b2 = c2  triangle is right a2 + b2 > c2  triangle is acute a2 + b2 < c2  triangle is obtuse

  6. Unit 11 Test: Right Triangles Special right triangles:

  7. Unit 11 Test: Right Triangles • Tangent, sine, cosine • Angle & 1 side  other sides • Angle  Side ratio ? ?

  8. Unit 11 Test: Right Triangles Inverses of tangent,sine, and cosine Any 2 sides  acute angles z y x ?

  9. Steepness • Two measures of steepness: • tan(Angle of elevation) = Slope • tan A = BC⁄AC = rise⁄run B A C

  10. Slope • Parallel lines  equal slopes • Perpendicular lines  negative reciprocal slope

  11. Homework • Asg #78: • From Chapter 11, Lesson 6, pp. 464-465: • Set I Exercises 11-16. • Set II Exercises 47-51. • Bonus: Exercises 52-59 and/or 60-65. • From the Chapter 11 Review (pp. 475-480): • Set I Exercises 15-20 • Set II Exercises 42-47, 54-55 • For 54-55: 1 minute = 1⁄60° (and 1 second = 1⁄60 minute) • Due Tuesday, 5/21. • Test Wednesday. • Ch. 11 Algebra Review (pp. 481-482): • Exercises 1-30. • Due Thursday, 5/23 (periods 1 & 2) or Friday, 5/24.

  12. Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and back tables). • See you tomorrow!

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