Geometry Postulates, Theorems,Definition, and Corrlaries

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Author:
Jpadawanj
ID:
184495
Filename:
Geometry Postulates, Theorems,Definition, and Corrlaries
Updated:
2012-12-18 20:43:06
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Geometry
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made week of 11/19
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  1. P1 Ruler Postulate 
    the distance between any two points equals the absolute value of the difference of their coordinates 
  2. P2 Segment Addition Postulate 
    If B is between A and C, then AB+BC=AC
  3. P3 Protractor Postulate
    with any given angle, a line/ray/segment can be drawn (use for drawing auxillary line) 
  4. P4 Angle Addition Postulate
    If point B lies in the interior of ∠AOC then m∠AOB+m∠BOC=m∠AOC

    If ∠AOC is a straight angle and B is ant not on lineAC, then m∠AOB+m∠BOC=180
  5. P5 A line contains at least ____; a plane contains at least ____ not____; space contains at least ____ not ____
    two points; three points not all in one line; four points not all in one plane
  6. P6 Through two points...
    there is exactly one line
  7. P7 Through any three points ____; through any three ____ points 
  8. T4-5 If a point lies on the perpendicular bisector of a segment then
    the point is equidistant from the segments' endpoint
  9. 14-6 If a point is equidistant from the endpoints of the segment then 
    the point lies on the perpendicualar bisector of the segment 
  10. 14-7 If a point lies on the bi. of an angle then
    the point is equidistant from the sides of the angle 
  11. T4-8 If a point is equidistant from the sides of an angle then
    the point lies on the angle's bisector
  12. Def of ▱ 
    quad. w/ both oppostie sides parallel
  13. T5-1 If ▱ then both pairs of ____ sides are ____
    opp.; congruent
  14. T5-2 If ▱ then both pairs of opp. a_____ are _____
    angles; congruent
  15. T5-3 If ▱ then d______ ______ each other
    diag. bisects
  16. T5-8 If two lines are parrallel, then all ______ on one _____ are _______ from the other _________
    points; line; equidistant; line 
  17. T5-9 If 3 parallel lines cut off _________ segments one one transversal, then they cut off congruent on every _________
    congruent; transversal
  18. T5-10 A line that contains the midpoint of one side of a traingle and is parallel to another side passes through the _______ of the ________ __________
    midpoint; third side
  19. T5-11 The segment that joins the midpoints of two sides of a triangle (1)? and (2)?
    • (1) is parallel to the third side 
    • (2) is half as long as the third side
  20. Requirements for adj. angles 
    • 1.) common vertex
    • 2.) common side 
    • 3.) no common interior points 

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