Segment Addition Postulate: If C is between B and D, then BC + CD = BD: Angle Addition Postulate: If D is a point in the interior of ∢ABC then m∢ABD + m∢DBC = m∢ABC: Linear Pair Postulate: If two angles form a linear pair, then they are supplementary: Definition of Right Angle: If ∢B is a right angle then m∢B = 90: Definition of Midpoint Segment Addition Proofs Name _____ Pd _____ Statements Reasons Statements Reasons ... Special Angle Pairs formed by Parallel Lines & Transversals Proofs Corresponding Angles Postulate If parallel lines are cut by a transversal,

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Reflect on this proof for a moment. Notice how we proved this theorem using Euclid’s first postulate. Observe that this theorem is “true” because Euclid’s first postulate is “true”. Example 1: Prove that an equilateral triangle can be constructed on any line segment.

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21.Never 22.Always 23.Sometimes 24.#22:Bydeﬁnition,apointdoesnottakeupanyspace,itisonlylocation. #25:Therayisneverread“BA,”theendpointalwaysissaidﬁrst. 25 ... To access the worksheet and quiz at any time, simply pause the video. Below, you also have the option of viewing the same playlist on YouTube. The videos in this playlist include: 1 of 3 - Intro to Proofs. 2 of 3 - Segment Proofs. 3 of 3 - Angle Proofs