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SECTION 3.6 Using perpendicular and parallel lines

VOCABULARY Construction Parallel Perpendicular. SECTION 3.6 Using perpendicular and parallel lines. LEARNING TARGETS: Students will be able to construct parallel and perpendicular lines with a compass and straightedge. Students will be able to use the parallel and perpendicular postulate.

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SECTION 3.6 Using perpendicular and parallel lines

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  1. VOCABULARY Construction Parallel Perpendicular SECTION3.6Using perpendicular and parallel lines LEARNING TARGETS: Students will be able to construct parallel and perpendicular lines with a compass and straightedge. Students will be able to use the parallel and perpendicular postulate.

  2. Vocabulary: • CONSTRUCTION: • A geometric drawing that uses a limited set of tools, usually a compass and a straightedge (a ruler without marks) • You cannot “measure” with a protractor or ruler when making constructions.

  3. Example (Notes) REVIEW!

  4. Example (Notes) REVIEW!

  5. CONSTRUCTION #1: • YouTube Video

  6. STEP 1:

  7. STEP 2:

  8. STEP 3:

  9. CONSTRUCTION #2: • YouTube Video

  10. STEP 1:

  11. STEP 2:

  12. STEP 3:

  13. CONSTRUCTION #3: • Step 1, Construction #1 • Step 2, Construction #2

  14. Constructing Parallel Line:

  15. Vocabulary: • PARALLEL POSTULATE • If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

  16. Vocabulary: • PERPENDICULAR POSTULATE: • If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.

  17. THEOREM: • THEOREM 3.11: • If two lines are parallel to the same line, then they are parallel to each other. If a || b and b || c, the a || c

  18. THEOREM: • THEOREM 3.12: • In a plane, if two lines are perpendicular to the same line, then they are parallel to each other. If f and f e, the d || e

  19. Example (Notes)

  20. Example (Notes)

  21. Concept Check (Notes)

  22. Daily Puzzler

  23. Cooperative Learning: • Construction Problems from Homework: • Answers drawn on Chalkboard

  24. HOMEWORK: • Section 3.6 Assignment • Page 147, #1-17, 19-25, 27, 28 • Due Wednesday, 11/16

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