Converse of the Corr. Angles Postulate
Converse of the Corr. Angles Postulate
Converse of the Corr. Angles Postulate
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October 28, 20113.3 Ways to Prove Lines Parallel1. If corr. angles are congruent, <strong>the</strong>n lines II.(<strong>Converse</strong> <strong>of</strong> <strong>the</strong> <strong>Corr</strong>. <strong>Angles</strong> <strong>Postulate</strong>)2. If alt. int. angles are congruent, <strong>the</strong>n lines II.(<strong>Converse</strong> <strong>of</strong> <strong>the</strong> Alt. Int. <strong>Angles</strong> Theorem)3. If alt. ext. angles are congruent, <strong>the</strong>n lines II.(<strong>Converse</strong> <strong>of</strong> <strong>the</strong> Alt. Ext. <strong>Angles</strong> Theorem)4. If same-side int. angles supp., <strong>the</strong>n lines II.(<strong>Converse</strong> <strong>of</strong> <strong>the</strong> Same-Side Int. <strong>Angles</strong> Theorem)5. If same-side ext. angles supp., <strong>the</strong>n lines II.(<strong>Converse</strong> <strong>of</strong> <strong>the</strong> Same-Side Ext. <strong>Angles</strong> Theorem)
October 28, 2011Are lines II? Why?1. 2. 3.
October 28, 20114. If 1 = 4 , <strong>the</strong>n which lines are II?ABDC
October 28, 2011Find <strong>the</strong> value <strong>of</strong> x that will make <strong>the</strong> lines II.5. 6.2x+1x4x3x-5
October 28, 20117.9x-25 4x+15
October 28, 2011
October 28, 2011
October 28, 20118. Are <strong>the</strong> lines II?4x-203x2x+10
October 28, 2011
October 28, 20119. Pro<strong>of</strong>.Given: 1 supp. 51 supp. 4Prove: j II kStatementReason