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5.2

5.2. Proving that Lines are Parallel. A. B. C. D.  ACD is an exterior angle. A & B are remote interior angles. m  ACD is greater than m  A . m  ACD is greater than m  B. 2. 1. 3. 4. 5. 6. 8. 7. 1  2 PQ ║ RS PQR  RSP 3  4 QR ║ PS

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5.2

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  1. 5.2 Proving that Lines are Parallel

  2. A B C D  ACD is an exterior angle. A & B are remote interior angles. mACD is greater than mA. mACD is greater than mB

  3. 2 1 3 4 5 6 8 7

  4. 1  2 PQ ║ RS PQR  RSP 3  4 QR ║ PS PQRS is a parallelogram. Given Alt. int. s  → ║ lines. Given Subtraction Property. Same as 2. A 4-sided figure with both pairs of opposite sides parallel is a parallelogram.

  5. 7 ways to prove lines parallel • AIP Alt Interior Angles ≅ • CAP Corresponding Angles ≅ • AEP Alt Ext Angles ≅ • SSISP same side interior angles supp parallel lines • SSESP same side exterior angles supp parallel lines • 2p3p two lines in a plane are both perpendicular to the same line they are parallel • Transversal of parallel if 2 lines are both parallel to the same line then they are parallel

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