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Warm Up

Identify Pairs of Lines and Angles. Warm Up. Lesson Presentation. Lesson Quiz. 1. Name a line that does not intersect AD. BC. ANSWER. 2. What is the intersection of AD and DB ?. D. ANSWER. Warm-Up. AB , HG , and EF all appear parallel to CD , but only AB contains point A. a.

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Warm Up

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  1. Identify Pairs of Lines and Angles Warm Up Lesson Presentation Lesson Quiz

  2. 1.Name a line that does not intersect AD. BC ANSWER 2.What is the intersection of AD and DB? D ANSWER Warm-Up

  3. AB, HG, and EFall appear parallel to CD, but only ABcontains point A. a. a. Line(s) parallel to CDand containing point A Example 1 Think of each segment in the figure as part of a line. Which line(s) or plane(s) in the figure appear to fit the description? SOLUTION

  4. b. Both AGand AHappear skew to CDand contain point A. b. Line(s) skew to CDand containing point A Example 1 Think of each segment in the figure as part of a line. Which line(s) or plane(s) in the figure appear to fit the description? SOLUTION

  5. BC, AD, DE, and FCall appear perpendicular to CD, but only ADcontains pointA. c. Line(s) perpendicular to CDand containing point A c. Example 1 Think of each segment in the figure as part of a line. Which line(s) or plane(s) in the figure appear to fit the description? SOLUTION

  6. PlaneABCappears parallel to plane EFGand contains point A. d. d. Plane(s) parallel to plane EFGand containing point A Example 1 Think of each segment in the figure as part of a line. Which line(s) or plane(s) in the figure appear to fit the description? SOLUTION

  7. a. Name a pair of parallel lines. a. MDFE Example 2 Photography The given line markings show how the roads are related to one another. SOLUTION

  8. b. MDBF b. Name a pair of perpendicular lines. Example 2 Photography The given line markings show how the roads are related to one another. SOLUTION

  9. c. FEis not parallel to AC, because MDis parallel to FEand by the Parallel Postulate there is exactly one line parallel to FEthrough M. Is FEAC? Explain. c. Example 2 Photography The given line markings show how the roads are related to one another. SOLUTION

  10. 1. Look at the diagram in Example 1. Name the lines through point Hthat appear skew to CD. ANSWER AH , EH Guided Practice

  11. ANSWER Yes; Since A is not on MD and MD is to BF, the Perpendicular Postulate guarantees that there is exactly one line through a point perpendicular to a line, so AC can not be perpendicular to BF also. Guided Practice 2. In Example 2, can you use the Perpendicular Postulate to show that ACis not perpendicular to BF? Explain why or why not.

  12. d. b. a. Corresponding Alternate interior d. Consecutive interior Alternate exterior c. and and and and and and and and and and ∠ 5 ∠ 7 ∠ 8 ∠ 7 ∠ 8 ∠ 5 ∠ 6 ∠ 7 ∠ 5 ∠ 6 3 4 1 2 4 2 4 2 3 1 a. b. c. Example 3 Identify all pairs of angles of the given type. SOLUTION

  13. 3. ANSWER corresponding angles Guided Practice Classify the pair of numbered angles.

  14. 4. ANSWER alternate exterior angles. Guided Practice Classify the pair of numbered angles.

  15. 5. ANSWER alternate interiorangles. Guided Practice Classify the pair of numbered angles.

  16. 1. Name the pairs of corresponding angles . 1 and 3; 5 and 7; ANSWER 2 and 4; 6 and 8 2. 3. Name the pairs of alternate interior angles . Name the pairs of consecutive interior angles . 2 and 7; 3 and 6 ANSWER 2 and 3; 6 and 7 ANSWER Lesson Quiz

  17. 4. The figure shows a painting easel. Does ABappear to be parallel, perpendicular, or skew toCD? Parallel ANSWER Lesson Quiz

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