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GBK Geometry

GBK Geometry. Jordan Johnson. Today’s plan. Greeting Lesson: Proof Lab Clean-up. A Recipe for Proof. State the givens. State what to prove. Sketch a diagram. Make a “rough draft”: On scratch paper, state easy-to-prove facts.

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GBK Geometry

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  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Lesson: Proof • Lab • Clean-up

  3. A Recipe for Proof • State the givens. • State what to prove. • Sketch a diagram. • Make a “rough draft”: • On scratch paper, state easy-to-prove facts. • Mark equal parts on your diagram.(A different color helps, here!) • Find what would immediately prove the result. • Pick the facts you need for the proof. • Write the proof (or as much as you can).

  4. Rules of thumb • Proving angle/segment equations?Try using congruence.Corresponding parts of congruent triangles are equal. • Proving congruence? Use ASA or SAS. • Remember old ways, too: • See triangles & angles? Triangle Angle-Sum Thm. • See a right triangle? Pythagorean Thm.

  5. Homework • Unit 3 Test Corrections – due Tuesday, 11/13. • Answers must be correct for credit – so check! • From Ch. 4, Lesson 3 (pp. 148-149): • Exercises #1-26. • Bonus: Set III. • Due Tuesday, 11/13. • Now, to the lab!

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

  7. Triangle Proof #1

  8. Proof • 1 and 2 are verticalangles. (Given.) • G is the midpoint of HF.(Given.) • H = F. (Given.) • HG = GF. (By definition of midpoint.) • 1 = 2. (Vertical angles are equal.) • GHI  GFE (by ASA).

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