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Today's lesson focuses on proof strategies in geometry, from stating givens to writing proofs. Learn key rules and tools to excel in triangle proofs and homework assignments. Engage with practice exercises and test corrections for a thorough understanding. Follow clean-up instructions for a productive lab session. Sharpen your skills and boost your confidence in geometry proofs with this comprehensive guide.
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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. • 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).
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.
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!
Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and back tables). • See you tomorrow!
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).