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Geometry Lesson 3-1: Identifying Lines and Angles

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  1. Geometry Lesson 3-1 Identify Lines and Angles

  2. Objectives • Previously we identified the relationship between two intersecting lines or two planes. • You will identify angle pair formed by three intersecting lines.

  3. Relationships b/w Lines and Planes • Parallel Lines: coplanar lines that do not intersect A B C D AB CD The symbol means is parallel to. Red arrows indicate lines are parallel

  4. Relationships b/w Lines and Planes (cont’d) • Parallel Planes: Planes that do not intersect. • Planes ABC and XYZ are parallel. • Skew Lines: Lines that do not intersect and are not coplanar. Work example 1 on page 147 A B D C W X Z Y

  5. Parallel and Perpendicular Postulates • If there is a line and a point not on that line then there is exactly one line through that point that is parallel to the given line. • If there is a line and a point not on that line then there is exactly one line through that point that is perpendicular to the given line. Example 2 on page 148

  6. Angle Relationships • Transversal: A line that intersects two or more lines in a plane at different points. l Line l is a transversal

  7. Angles formed by Transversals • Corresponding Angles: Are in corresponding positions (picture on pg. 149) • Alternate interior angles: Lie between the lines and are on opposite sides of the transversal. (picture on pg. 149) • Alternate exterior points: Lie outside the two lines and on opposite sides of the transversal. (picture on pg. 149) • Consecutive interior angles: Lie between the two lines and on the same side as the transversal. (picture on pg. 149) Work example 3 on page 149, also do guided practice for example 3

  8. 1, 2, 8, 7, 4, 3, 5, 6, 1, 5, 3, 5, 1, 7, 6, 3, 3, 7, 4, 8, 2, 8, 4, 5, 2, 6, 4, 6, Angle Relationships 1 2 4 3 5 6 8 7 Name Angles Exterior Angles Interior Angles Consecutive Interior Angles Alternate Exterior Angles Alternate Interior Angles Corresponding Angles

  9. 6 5 7 30 8 29 18 2 32 17 31 15 14 20 1 19 13 16 3 27 4 26 22 28 21 25 10 11 24 23 9 12 1.Name Your Category 2. Name a Pair that belongs in that Category

  10. Homework • Page 150-151 # 7-10, 18-23, 28, 29-32, 34-37

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