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Published byKimberly Black Modified over 4 years ago

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10/25 Bell Ringer Step 1: Grab materials from front of the room. Step 2: Get out your homework and vocab Step 3: Find the missing angles measurement: 50° X°X° 80°X°X° X°X° Fill in vocab for Linear Pair Thm and Common Seg Theorem. Finish todays handout.

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10/25 News and Notes Missing Quizzes: –1 st : Breniah –7 th : Brian L, Jasmine R –8 th : Sandy, Allan, Desirae, Cristian, Ida, Lorena, Nicole, Jasmine Z. Rest of week plan: M = Proofs, T = Proofs, W = Review/Wrap-up, TH = Study habits, F = Test

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10/25 Agenda I CAN write a two-column proof of the Linear Pair Theorem and discuss the importance of proving something. 1.Bell Ringer 2.New Material – Questions to consider 3.Guided Practice – Linear Pair Thm Proof 4.Independent Practice – Questions and Proof of Common Segment Theorem.

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Todays Goal Get used to asking ourselves the right questions in order to complete a proof of a very valuable theorem of geometry.

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New Material – 2 New Tools for our reasoning toolkit Agile Mind Topic 5: Exploring: Creating Proofs pp. 2 & 3.

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New Material – Linear Pair Theorem Questions Agile Mind Topic 5: Exploring: Creating Proofs pg. 4

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THE FIRST PROOF! Given:. Prove: STATEMENTREASON Given Definition of straight angle Angle Addition Postulate Transitive Property of Equality Definition of supplementary angles QED!

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What did we just prove? We took the fact that the two angles formed a linear pair and proved that linear pairs of angles are supplementary. This allows us to define the Linear Pair Theorem: LPT: Two angles of a linear pair are supplementary.

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Now try on your own… First answer guiding questions, then convert your answers to finish a proof. 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.

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The answers to the review are below. Alternate Exterior Angles Postulate Linear Pair Theorem BiconditionalConclusion Corresponding Angles Postulate 4 Supplementary.

The answers to the review are below. Alternate Exterior Angles Postulate Linear Pair Theorem BiconditionalConclusion Corresponding Angles Postulate 4 Supplementary.

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