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10/26 Bell Ringer. Step 1: Grab materials from front of the room. Step 2: Get out your homework and vocab Step 3: Find the missing angle’s measurement:. 75 °. 22°. X °. X °. X °. Finish Vocab Sheet! Finish today’s handout. 10/26 News and Notes. Missing Quizzes: 1 st : Breniah
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10/26 Bell Ringer Step 1: Grab materials from front of the room. Step 2: Get out your homework and vocab Step 3: Find the missing angle’s measurement: 75° 22° X° X° X° Finish Vocab Sheet! Finish today’s handout.
10/26 News and Notes • Missing Quizzes: • 1st: Breniah • 7th: Brian L, Jasmine R • 8th: Sandy, Desirae, Cristian, Lorena, Nicole, Jasmine Z. • Rest of week plan: T = Proofs, W = Review/Wrap-up, TH = Study habits, F = Test
10/26 Agenda I CAN review Common Segment Theorem Proof, construct the Common Angle Theorem proof, and practice by proving the Vertical Angle Theorem. • Bell Ringer • New Material – Questions to consider • Guided Practice – Common Angle Thm • Independent Practice – Vertical Angle Thm.
Today’s Goal • Use our theorems that we proved yesterday as reasons in new proofs!
New Material – Review the Common Segment Theorem Proof LA = IN LA + AI= IN + AI AI = LI AI = AN LI = AN QED!
New Material – Common Segment Theorem • If AC = BD, then AB = CD • If AB = CD, then AC = BD • Why does this work? • Because AC and BD have BC in common
What is given in this example? TW = XS QV = TX • What do we want to prove by the end? QV = WS • What does the Common Segment Theorem allow you to do with TW and XS? TX = WS • How does the Transitive (or Substitution Property) allow you to combine QV = TX with your answer to the previous question? QV = WS
THE PROOF! TW = XS Given Given QV = TX Common Segment Theorem TX = WS Transitive Property of Equality (or Substitution) QV = WS QED! QED! QED!
Now try on your own… • First answer guiding questions, then convert your answers to finish a proof of the Vertical Angle Theorem. • You must have questions answered and have started the proof by the end of class. • If you have questions raise your hand. • Class disruptions will not receive credit.