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The Basics and Important Postulates of Geometry

The Basics and Important Postulates of Geometry. POSTULATE No. 1. You can only draw one line between two points. You will not be able to draw a second line through points A and B. EXAMPLE:. POSTULATE No. 2: A line has infinite points . POSTULATE No. 3:

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The Basics and Important Postulates of Geometry

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  1. The Basics and Important Postulates of Geometry

  2. POSTULATE No. 1 You can only draw one line between two points. You will not be able to draw a second line through points A and B.

  3. EXAMPLE:

  4. POSTULATE No. 2:A line has infinitepoints.

  5. POSTULATE No. 3: Oneplanecontainsinfinitepoints.

  6. EXAMPLE:

  7. POSTULATE No. 4:Two lines can instersect at ONLY one point. S is the only intersection of and in the figure below.

  8. EXAMPLE:

  9. POSTULATE No. 5:When two planes intersect, their intersection is a line.

  10. EXAMPLE:

  11. POSTULATE NO. 6:Infinite lines pass by a point.

  12. Example:

  13. POSTULATE No. 7: Infinite planes passby a line.

  14. Example:

  15. POSTULATE No. 8: Three planes intersect in a point.

  16. POSTULATE No. 9: Threepointsthat are notcolinealform a plane. THREE POINTS THAT ARE NOT COLINEAR ARE ALWAYS COPLANEAR. IF THREE POINTS ARE NOT COLINEAR THEN THERE ONLY EXIST ONE PLANE THAT CONTAINS THEM.

  17. EXAMPLE : 3 POINTS THAT ARE NOT COLINEAR FORM A PLANE.

  18. MORE EXAMPLES:

  19. POSTULATE 10:Twolinesthatintersectform a plane. • Twolinesthatintersect are alwayscoplanear. • Iftwolinesintersectthereonlyexistoneplanecontainingthem.

  20. EXAMPLE:

  21. POSTULATE 11: A line and a pointoutsideform a plane. How?

  22. 1. Wechooseone new pointonthe line.

  23. 2. Wedraw a line acrossbothpoints.

  24. 3. TWO LINES THAT INTERSECT FORM A PLANE.

  25. PLEASE IDENTIFY SITUATIONS IN WHICH YOU RECOGNIZE THE GEOMETRY POSTULATES AND ON A CARDBOARD, DO A COLLAGE WITH MAGAZINE PICTURES OF THESE SITUATIONS, BY CHOOSING EXAMPLES OF AT LEAST 5 POSTULATES.

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