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Geometry Bellwork 9/16/14

Geometry Bellwork 9/16/14. Section 3.1. Identify Pairs of Lines and Angles. Lines that do not intersect and are coplanar. Lines m and n. Lines that do not intersect and are NOT coplanar. Lines m and k. Planes that do not intersect. Planes T and U.

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Geometry Bellwork 9/16/14

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  1. Geometry Bellwork 9/16/14

  2. Section 3.1 Identify Pairs of Lines and Angles Lines that do not intersect and are coplanar. Lines m and n. Lines that do not intersect and are NOT coplanar. Lines m and k. Planes that do not intersect. Planes T and U.

  3. Think of each segment in the figure as part of a line. Complete the statements. a. b. Name the 3 lines parallel to CD. Name the 4 lines perpendicular to AH . HG, EH, AB, DA HG, FG, AB, CB, AG Name the 5 lines skew to ED. c. d. Is plane EFG parallel, skew, or perpendicular to planeCFG? EXAMPLE 1 Identify relationships in space AB, HG, EF perpendicular

  4. Section 3.1 Identify Pairs of Lines and Angles PARALLEL AND PERPENDICULAR LINESTwo lines that are in the same plane are either __________( ), ___________________ ( ), or ___________. parallel  perpendicular oblique  parallel perpendicular oblique • intersect at 90° • do not intersect • intersect NOT at 90°

  5. Section 3.1 Identify Pairs of Lines and Angles 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. There is exactly one line through P parallel to l. 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. There is exactly one line through P perpendicular to l.

  6. NPPQ a. Name a pair of parallel lines. b. Name a pair of perpendicular lines. Is PRLS? Explain. c. MKLS EXAMPLE 2 Identify parallel and perpendicular lines Use the markings in the diagram. No, no parallel markings on . PR

  7. for Examples 1 and 2 GUIDED PRACTICE 1. Lines in the same plane that do not intersect are called________________. 2. Lines not in the same plane that do not intersect are called________________. parallel skew

  8. Section 3.1 Identify Pairs of Lines and Angles ANGLES AND TRANVERSALS A _____________ is a _______ that intersects two or more coplanar lines at different __________. Transversals form special angle _________. Name the transversals in each diagram. transversal line points pairs line a line t line b

  9. Section 3.1 Identify Pairs of Lines and Angles Two angles that have corresponding positions on the same side of a transversal.

  10. Section 3.1 Identify Pairs of Lines and Angles Two angles that lie between the two lines on the same side of a transversal.

  11. Section 3.1 Identify Pairs of Lines and Angles Two angles that lie between the two lines on opposite sides of a transversal.

  12. Section 3.1 Identify Pairs of Lines and Angles Two angles that lie outside the two lines on opposite sides of a transversal.

  13. Identify all pairs of angles of the given type. b. a. Corresponding Alternate interior d. Consecutive interior Alternate exterior c. EXAMPLE 3 Identify angle relationships Transversal connects angle pairs Same side transversal, corresponding spots 1, 5 2, 6 3, 7 4, 8 Alternate sides, between two lines 2, 7 4, 5 Alternate sides, outside two lines Same side, between two lines 1, 8 3, 6 2, 5 4, 7

  14. 3. for Example 3 GUIDED PRACTICE Classify the pair of numbered angles. Corresponding (CORR)

  15. 4. for Example 3 GUIDED PRACTICE Classify the pair of numbered angles. Alternate Exterior (AE)

  16. 5. for Example 3 GUIDED PRACTICE Classify the pair of numbered angles. Alternate Interior(AI)

  17. Worksheet 3.1 HOMEWORK Worksheet 3.1 Skip #’s 25 to 30

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