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GS - Geometry H. - Postulates and Theorems

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Question
Answer
Ruler Postulate   The distance between any two points equal the absolute value of the difference of there coordinates.  
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Segment Addition Postulate   If B is the midpoint of A and C, then AB + BC = AC.  
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Protractor Postulate   Computing the absolute value of the acute and obtuse degrees.  
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Angle Addition Postulate   m  
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A line contains at least ... points   Two.  
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A plane contains at least ... points not all in one line.   Three.  
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Space contains at least ... points not all in one plane.   Four.  
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Through any two points, ...   There is at least one line.  
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Through any three points, ...   There is at least one plane.  
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Through any three noncollinear points, ...   There is exactly one plane.  
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If two points are in a plane, ...   Then the line that contains the points are also in the plane.  
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If two planes intersect, ...   Then there intersection is a line.  
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If two lines intersect, ...   Then they intersect in exactly one point.  
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Through a line and a point not on the line, ...   There is exactly one plane.  
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If two lines intersect, ...   Then exactly one plane contains the lines.  
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Midpoint Theorem   if M is the midpoint of segment AB, then AM 1/2AB and MB = 1/2AB  
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Angle Bisector Theorem   If ray BX is the bisector of  
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Vertical angles are ...   congruent.  
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If two lines are perpendicular, then they form ...   congruent adjacent angles.  
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If two lines form congruent adjacent angles, then they are   perpendicular.  
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If the exterior sides of two congruent acute adjacent angles are perpendicular, then the angles are ...   complements.  
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If two lines are perpendicular, then they form. Key Word: right angle (90 degrees)   right angles.  
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If two lines form right angles, then the lines are ...   perpendicular.  
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Created by: MrGman
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