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Plane Theorems
Flash Cards for theorems relating to planes, parallel and perpendicular
9
Mathematics
10th Grade
10/15/2008

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Cards

Term
Two planes are perpendicular if and only if
Definition
One plane contains a line perpendicular to the others.
Term
If a line is perpendicular to each of two intersecting lines at their point of intersection
Definition
Then the line is perpendicular to the plane determined by these lines.
Term
Through a given point on a plane
Definition
There is only one line perpendicular to the given plane
Term
Through a given point on a line
Definition
there can be only one plane perpendicular to the given line.
Term
If a line is perpendicular to a plane
Definition
Then any line perpendicular to the given line at its point of intersection with the given plane is in the plane.
Term
If a line is perpendicular to a plane
Definition
then every plane containing the line is perpendicular to the given plane
Term
If a plane intersects two parallel planes
Definition
Then the intesection is two parallel lines
Term
Two lines perpendicular to the same plane
Definition
are coplanar
Term
If two planes are perpendicular to the same line
Definition
Then they are parallel.
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