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plane and line postulates from Tools of Geometry

QuestionAnswer
If a line is perpendicular to each of two intersecting lines at their point of intersection, then the line is perpendicular to the plane determined by them
Through a given point there passes one and only one plane perpendicular to a given line
Though a given point there passes one and only one line perpendicular to a given plane
Two lines perpendicular to the same plane are coplanar, because the lines are parallel
Two planes are perpendicular to each other if and only if one plane contains a line perpendicular to the second plane
if a line is perpendicular to a plane, then any line perpendicular to the given line at its point of intersection with the given plane is in the given plane
if a plane intersects two parallel planes, then the intersection is two parallel lines
If two planes are perpendicular to the same line, they are parallel
if a line is perpendicular to a plane, then every plane containing the line is perpendicular to the given plane
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