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Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
3. Proving Lines Parallel
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Exercise 45 Page 162

Use the Converse of the Same-Side Interior Angles Postulate.

PN ∥ LA, see solution

Practice makes perfect

Let's start by recalling the Converse of the Same-Side Interior Angles Postulate.

Converse of the Same-Side Interior Angles Postulate

If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.

To apply the postulate, let's draw quadrilateral PLAN using the given angles. Let's also extend its sides.

We see that, in this case, the interior angles are supplementary only in the vertical direction, so we can determine only one pair of parallel lines. PN ∥ LA

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arrow_right Lesson Check p.160
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arrow_right Practice and Problem-Solving Exercises p.160-162
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Practice and Problem-Solving Exercises 13 (Page 161)
Practice and Problem-Solving Exercises 14 (Page 161)
Practice and Problem-Solving Exercises 15 (Page 161)
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Practice and Problem-Solving Exercises 29 (Page 161)
Practice and Problem-Solving Exercises 30 (Page 162)
Practice and Problem-Solving Exercises 31 (Page 162)
Practice and Problem-Solving Exercises 32 (Page 162)
Practice and Problem-Solving Exercises 33 (Page 162)
Practice and Problem-Solving Exercises 34 (Page 162)
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Practice and Problem-Solving Exercises 40 (Page 162)
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Practice and Problem-Solving Exercises 43 (Page 162)
Practice and Problem-Solving Exercises 44 (Page 162)
Practice and Problem-Solving Exercises 45 (Page 162)
Practice and Problem-Solving Exercises 46 (Page 162)
arrow_right Standardized Test Prep p.163
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arrow_right Mixed Review p.163
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