the basics and important postulates of geometry
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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: - PowerPoint PPT PresentationTRANSCRIPT
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The Basics and Important
Postulates of Geometry
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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.
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EXAMPLE:
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POSTULATE No. 2:A line has infinite points.
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POSTULATE No. 3:
One plane contains infinite points.
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EXAMPLE:
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POSTULATE No. 4:Two lines can instersect at ONLY one point. S is the only intersection of and
in the figure below.
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EXAMPLE:
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POSTULATE No. 5:When two planes intersect, their
intersection is a line.
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EXAMPLE:
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POSTULATE NO. 6:Infinite lines pass by a point.
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Example:
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Infinite planes pass by a line.
POSTULATE No. 7:
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Example:
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POSTULATE No. 8: Three planes intersect in a point.
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POSTULATE No. 9: Three points that are not colineal form 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.
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EXAMPLE : 3 POINTS THAT ARE NOT COLINEAR FORM A PLANE.
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MORE EXAMPLES:
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![Page 21: The Basics and Important Postulates of Geometry](https://reader036.vdocuments.mx/reader036/viewer/2022062301/568161ba550346895dd18c93/html5/thumbnails/21.jpg)
POSTULATE 10:Two lines that intersect form a plane.
• Two lines that intersect are always coplanear.
• If two lines intersect there only exist one plane containing them.
![Page 22: The Basics and Important Postulates of Geometry](https://reader036.vdocuments.mx/reader036/viewer/2022062301/568161ba550346895dd18c93/html5/thumbnails/22.jpg)
EXAMPLE:
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POSTULATE 11: A line and a point outside form a
plane.How?
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1. We choose one new point on the line.
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2. We draw a line across both points.
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3. TWO LINES THAT INTERSECT FORM A PLANE.
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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.