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3-4. Parallel and Perpendicular Lines. OBJECTIVE. To relate parallel and perpendicular lines. KEY CONCEPTS. c. b. a. KEY CONCEPTS. t. n. m. KEY CONCEPTS. t. n. m. CLASS WORK.

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3-4

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  1. 3-4 Parallel and Perpendicular Lines

  2. OBJECTIVE To relate parallel and perpendicular lines

  3. KEY CONCEPTS c b a

  4. KEY CONCEPTS t n m

  5. KEY CONCEPTS t n m

  6. CLASS WORK 1. Suppose you are laying tiles. You place several different rectangles together to form a larger rectangle. a. BCis parallel to DF , DFis parallel to GH. What is the relationship between BC and GH? Explain.

  7. P CLASS WORK 2. Copy and complete this paragraph proof. Given: q ║ r, r ║ s, b q, and a s Prove: a ║ b Proof: Because it is given that q ║ r and r ║ s, then q ║ s by the. This means that 1  because they are. Because b q, m1 = 90. So, m2 =. This means s b, by definition of perpendicular lines. It is given that a s, so a ║ b by Theorem.

  8. CLASS WORK 3. A puppeteer cuts the pieces shown at the right to frame the stage of a puppet theater. Will the sides of the pieces on the left and right be parallel?

  9. SUMMARY Two lines || to the same line are || to each other In a plane, two lines to the same line are || In a plane if one line is to one of two || lines, then it is to both lines

  10. EXIT PROBLEM 4. The recreation department is setting up the football field. They check to make sure that the 50-yd line and the end zone lines are perpendicular to the right sideline. Does this mean both sidelines are parallel? Explain.

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