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Warm-ups

P. 869 1-5 no calculators These problems are due in 3 min. Warm-ups. Date Sec 1-1. Concept: Identify Points, Lines and Planes Objectives: Given basic concepts in Geometry, name and sketch geometric figures. 3-Undefined Terms in Geometry. Point Line Plane. Point.

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Warm-ups

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  1. P. 869 1-5 no calculators These problems are due in 3 min. Warm-ups

  2. Date Sec 1-1 Concept: Identify Points, Lines and Planes Objectives: Given basic concepts in Geometry, name and sketch geometric figures

  3. 3-Undefined Terms in Geometry • Point • Line • Plane

  4. Point It has no dimension. It is usually represented by a small dot Undefined. A Label with Capital Letters

  5. l A B Labels: AB BA l Line Extends in one dimension. Usually represented by a straight line with arrows on the ends. Undefined

  6. A B C M Plane: undefined Extends in two dimensions. Usually represented by a shape that looks like a table top. Plane M or plane ABC

  7. Key Terms – you probably already know some of these… • Coplanar and Noncoplanar • Collinear and Noncollinear • Ray • Segment • Opposite ray • Intersect

  8. Collinear: points that lie on the same line P I G S Points P, I, G, and S are collinear

  9. O G D Non-Collinear: Points that do not lie on the same line Points D, O and G are noncollinear

  10. G M A S H T Coplanar: Points that lie in the same plane Points M, A, T, H, S are coplanar

  11. G A M S H T Non -Coplanar: Points that do not lie in the same plane Points G, S and H are non- coplanar

  12. A B AB or BA Line Segment: Part of a line that consists of 2 endpoints

  13. B A AB Ray: Part of a line that consists of a point called the initial point and all points on the line that extend in one direction. A is the initial point

  14. Opposite Rays: If C is between A and B, then CA and CB are opposite rays B C A

  15. Intersect: To have one or more points in common Intersection: The set of points that two or more geometric figures have in common

  16. L C N M P O Example 1: 1. Name 3 coplanar points 2. Name 3 collinear points 3. Name 3 non-collinear points 4. Name a line segment in two different ways 5. Name a ray

  17. 6. Name a line in 2 ways 7. Name a point 8. Name the plane in two ways 9. What is the intersection of LO and plane C Example 1: Cont. L C N M P O

  18. Example 2: Sketch the figure described A. A line and a plane that do not intersect

  19. B. 2 planes that do not intersect and a line that intersects each plane in 1 point

  20. Example 3: Determine if the point lies on the line A. Y = x-4 A(5,1) 1 = 5-4 1=1 YES, it lies on the line B. Y = 2x + 3 A(7, 16) 16 = 2(7) + 3 16 ≠ 17 NO, It doesn’t lie on the line

  21. 0 2 5 Example 4: Graph the inequality on the number line. Tell whether the graph is a segment, a ray or rays, a point or a line X>2 or x<5 Line

  22. Example 5: What kind of Geometric Intersection does the photograph suggest? The intersection of 2 lines The intersection of a line and a plane

  23. Today’s Work: In Class: Homework:

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