Presentation on theme: "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°"— Presentation transcript:
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.
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
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.
Todays Goal Get used to asking ourselves the right questions in order to complete a proof of a very valuable theorem of geometry.
New Material – 2 New Tools for our reasoning toolkit Agile Mind Topic 5: Exploring: Creating Proofs pp. 2 & 3.
New Material – Linear Pair Theorem Questions Agile Mind Topic 5: Exploring: Creating Proofs pg. 4
THE FIRST PROOF! Given:. Prove: STATEMENTREASON Given Definition of straight angle Angle Addition Postulate Transitive Property of Equality Definition of supplementary angles QED!
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.
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.