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Lesson 3-5 Proving Lines Parallel

Lesson 3-5 Proving Lines Parallel. Concept. Concept. Concept. A. Given 1  3, is it possible to prove that any of the lines shown are parallel? If so, state the postulate or theorem that justifies your answer. Identify Parallel Lines. Example 1.

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Lesson 3-5 Proving Lines Parallel

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  1. Lesson 3-5 Proving Lines Parallel

  2. Concept

  3. Concept

  4. Concept

  5. A. Given 1  3, is it possible to prove that any of the lines shown are parallel? If so, state the postulate or theorem that justifies your answer. Identify Parallel Lines Example 1

  6. A. Given 1  3, is it possible to prove that any of the lines shown are parallel? If so, state the postulate or theorem that justifies your answer. Answer: Yes, because <1 & <3 are corresponding ang Identify Parallel Lines Example 1

  7. B. Given m1 = 103 and m4 = 100, is it possible to prove that any of the lines shown are parallel? If so, state the postulate or theorem that justifies your answer. Identify Parallel Lines Example 1

  8. B. Given m1 = 103 and m4 = 100, is it possible to prove that any of the lines shown are parallel? If so, state the postulate or theorem that justifies your answer. Identify Parallel Lines Answer: NO, because if lines a and c were II then <1 & <4 would be congruent; AIA Example 1

  9. A. Given 1  5, is it possible to prove that any of the lines shown are parallel? A. Yes; ℓ║ n B. Yes; m ║ n C. Yes; ℓ║ m D. It is not possible to prove any of the lines parallel. Example 1

  10. B. Given m4 = 105 and m5 = 70, is it possible to prove that any of the lines shown are parallel? A. Yes; ℓ║ n B. Yes; m║ n C. Yes; ℓ║ m D. It is not possible to prove any of the lines parallel. Example 1

  11. Find mZYN so that || . Show your work. Use Angle Relationships Example 2

  12. Use Angle Relationships Example 2

  13. ALGEBRA Find x so that || . A.x = 60 B.x = 9 C.x = 12 D.x = 12 Example 2

  14. GAMES In the game Tic-Tac-Toe, four lines intersect to form a square with four right angles in the middle of the grid. Is it possible to prove any of the lines parallel or perpendicular? Choose the best answer. • A. The two horizontal lines are parallel. • B. The two vertical lines are parallel. • The vertical lines are perpendicular to the horizontal lines. • All of these statements are true. Example 3

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