Explain the Following Postulates and Theorems of Geometry Flashcards

31 cards   |   Total Attempts: 182
  

Cards In This Set

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Segment Addition Postulate
Two segments add up to one bigger segment
Angle Addition Postulate
Two angles add up to one bigger angle
Postulate 5
A line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one line
Postulate 6
Through any two points there is exactly one line.
Postulate 7
Through any three points there is exactly one plane, and through any three collinear points there is exactly one plane.
Postulate 8
If two points are in a plane, then the line that contains the points is in that plane.
Postulate 9
If two points intersect, their intersection is a line.
Theorem 1-1
If two lines intersect, then they intersect in exactly one point.
Theorem 1-2
Through a line and a point not in the line there is exactly one plane.
Theorem 1-3
If two lines intersect, then exactly one plane contains the lines.
Addition Property
If a = b, and c = d then a + c = b +d
Subtraction Property
If a = b and c = d then a - c = b - d
Multiplication Property
If a = b, then ca =cb
Division Property
If a = b, then a/c = b/c
Substitution Property
If a = b, then a or b can be substituted for the other in any equation or inequality.