GEOMETRY: POINTS, LINES. PLANES

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By this end of the presentation you will be able to:
Identify and model points, lines, and planes.
Identify collinear and coplanar points.
Identify non collinear and non coplanar points.

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GEOMETRY: POINTS, LINES. PLANES

  1. 1. Line . plane Point
  2. 2. OBJECTIVES By this end of the presentation you will be able to:  Identify and model points, lines, and planes.  Identify collinear and coplanar points.  Identify non collinear and non coplanar points.
  3. 3. What is Geometry Geometry is the study of lines, angles and their relationship with each other.
  4. 4. POINTS  A point indicates a position or location in space.  Point has no size and shape = no dimension.  Point is represented by a small dot.  points are named using capital letters. Example: .A or “Point A” .B .C .D
  5. 5. Line  Line is two or more points which are connected and are endless in both directions. It never ends.  It is represented by a straight line with two arrowheads to indicate that the line extends without end in two directions.  The symbol for a line
  6. 6. NAMING A LINE Line is named using any two points on a line or with a lower case letter. a)Two points on a line:        AB, AC , BA, BC , etc... A B C b) Single lowercase letter m Example: name the line below. m . A . B Ans. Line m or AB or BA
  7. 7. Plane • Plane is a flat two dimensional surface which contains points, lines, segments. plane figures are closed • It is represented by a shape that looks like a tablecloth or wall. Example of Planes: walls, desk tops, floors, and paper etc wall Planes are everywhere around us. Floor Desk top paper
  8. 8. Naming a Plane Planes are named using three points on a plane or cursive capital letters. a) Three points on the plane: B • Plane ABC A • C • b) Single cursive uppercase letter: R Plane R Example: name the plane below. R A • B • C • Ans. Plane ABC Or Plane R
  9. 9. Naming collinear and coplanar points Collinear points are two or three points on the same line. Collinear points A, B,C and points D, B,E Fig. 1 Non collinear: Any three points combination that are not in the same line. E.g. points ABE E Fig.2 A B C Coplanar points are four or more point to point on the same plane. D Coplanar points: ABCD .E Non-Coplanar point: . . . .
  10. 10. PRACTICE 1.Draw a noncollinear point, J K, L. 2.Draw JK = KL = LJ = 3. Draw plane S. 4. Draw a collinear point, A, B, C. 5. Draw point Z.
  11. 11. PRACTICE Name a point that is collinear with the given points. 1. F and H 2. G and K Ans. 3. K and L 1.K 4. M and J 2. N G 5. J and N 3.M 4. F 6. K and H L 5. L 7. H and G 6. F 8. J and F 7.J 8.M
  12. 12. PRACTICE Name three points in the diagram that are not collinear. 1 2 3
  13. 13. PRACTICE Decide whether the statement is true (T) or false (F) 1. Points A,B and C are collinear. 2. Points A,B and C are coplanar. 3.Point F lies on DE. 4. DE lies on plane DEF. 5. BD and DE intersect. 6. BD is the intersection of plane ABC and plane DEF. Ans. 1. F 2. T 3. F 4. T 5. T 6. T
  14. 14. PRACTICE Name a point that is coplanar with the given points 1. A, B, and C 2. D, C, and F 3. G, A, and D 4. E, F, and G 5. A, B and H Ans. 1. D 2. G 3. H 4. H 5. E
  15. 15. PRACTICE Name all the points that are not coplanar with the given points. 1.N, K and L 2. S, P and M 3. P, Q and N 4. R,S and L 5. P, Q, and R Ans. 1.) R, S, P, Q 2) K,N,Q,R 3) S,R,L,K 4) M, N, P, Q 5. K,L,M,N
  16. 16. This is over ... Fantastic Bravo!
  17. 17. Your feedback about Marie Glemaud: Highest Knowledge Gained in the class: 1-5 Would you recommend this Presenter to others? yes no Comments: Follow this teacher yes Submit

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