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GBK Geometry

GBK Geometry. Jordan Johnson. Today’s plan. Greeting Review Asg #47: Ch . 6, Lesson 2 (pp. 219-224): Set I Exercises 1-3, 7-16. Set II Exercises 24-28, 31-39. Bonus : Set III. Practice Quiz Homework / Questions Clean-up. Practice Quiz. Answer in complete sentences:

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GBK Geometry

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  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Review Asg #47: Ch. 6, Lesson 2 (pp. 219-224): • Set I Exercises 1-3, 7-16. • Set II Exercises 24-28, 31-39. • Bonus: Set III. • Practice Quiz • Homework / Questions • Clean-up

  3. Practice Quiz • Answer in complete sentences: • State the Parallel Postulate. • Why is the Parallel Postulate historically significant? • What do you get if you assume the Parallel Postulate is false?

  4. Practice Quiz: Answers • Answer in complete sentences: • State the Parallel Postulate. • Through a given point P not on a line m, there is exactly one line parallel to m. • Why is the Parallel Postulate historically significant? • Mathematicians tried to prove it for thousands of years, and eventually discovered (in the 1800s) that it cannot be proven – and that other types of geometry than Euclid’s are possible. • What do you get if you assume the Parallel Postulate is false? • You get a different kind of geometry, such as geometry on a sphere’s surface.

  5. Homework • Asg #48: From Chapter 6, Lesson 3: • Exercises #1-18, 29-45 • Bonus: Set III • Use complete sentences for 37-41, and explain your answer. For 42-45, include the diagrams & the entire proof. • Also, read Ch. 6 Lesson 4 (pp. 230-231), record the theorems in your notes, and bring your notes to class. • Due Tuesday. • Asg #49: From Ch. 6 Lesson 4 (pp. 230-235), do: • Set I Exercises 1-7, 13-16 • Set II Exercises 34-35, 45-50 • Bonus: Set III • Due Wednesday 2/6.

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

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