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Geometry Chapter 6 Theorems

Only for use by students of KHCS.
Quiz by Maladroit
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Last updated: February 7, 2018
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First submittedFebruary 7, 2018
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6-1
The measure of an exterior angle of a triangle is greater than the measure of either remote interior angle.
 
6-2
If one side of a triangle is longer than a second side, then the angle opposite the first side is larger than the angle opposite the second side.
 
6-3
If one angle of a triangle is larger than a second angle, then the side opposite the first angle is longer than the side opposite the second angle.
 
Corollaries
The perpendicular segment from a point to a line is the shortest segment from the point to the line.
The perpendicular segment from a point to a plane is the shortest segment from the point to the plane.
 
6-4
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
 
6-5
If two sides of one triangle are congruent to two sides of another triangle, but the included angle of the first triangle is larger than the included angle of the second,then the third side of the first triangle is longer than the third side of the second triangle.
 
6-6
If two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second,then the included angle of the first triangle is larger than the included angle of the second.
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