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Contents Lesson 3-1Parallel Lines and Transversals Lesson 3-2Angles and Parallel Lines Lesson 3-3Slopes of Lines Lesson 3-4Equations of Lines Lesson 3-5Proving Lines Parallel Lesson 3-6Perpendiculars and Distance

Lesson 5 Contents Example 1Identify Parallel Lines Example 2Solve Problems with Parallel Lines OBJECTIVE: To recognize angle conditions that occur with parallel lines (2.9.8E) (M8.C.1.1.3)

Example 5-1a Determine which lines, if any, are parallel. consecutive interior angles are supplementary. So, consecutive interior angles are not supplementary. So, c is not parallel to a or b. Answer:

Example 5-1b Determine which lines, if any, are parallel. Answer:

Example 5-2a ALGEBRA Find x and m  ZYN so that Explore From the figure, you know that and You also know that are alternate exterior angles.

Example 5-2b Alternate exterior angles Subtract 7x from each side. Substitution Add 25 to each side. Divide each side by 4. Solve Plan For line PQ to be parallel to MN, the alternate exterior angles must be congruent. Substitute the given angle measures into this equation and solve for x. Once you know the value of x, use substitution to find

Example 5-2c Answer: Original equation Simplify. Examine Verify the angle measure by using the value of x to find Since

Example 5-2d ALGEBRA Find x and m  GBA so that Answer:

End of Lesson 5

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