## Ch. 5 Relationships in Triangles

##### Created by:

bganschow  on September 16, 2011

##### Description:

Glenco McGraw-Hill

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# Ch. 5 Relationships in Triangles

 Perpendicular BisectorA bisector is also perpendicular to the segment.
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#### Definitions

Perpendicular Bisector A bisector is also perpendicular to the segment.
Concurrent Lines When three or more lines intersect at a common point.
Point of Concurrency The point where concurrent lines intersect.
Circumcenter The point of concurrency of the perpendicular bisector.
Incenter The angle bisector of a triangle are concurrent, and their point of concurrency.
Median A segment with endpoints being a vertex of s triangle and the midpoint of the opposite side.
Centroid Always inside the triangle.
Altitude A segment from a vortex to the line containing the opposite side of perpendicular to the line containing that side.
Orthocenter The lines containing the altitudes of a triangle are concurrent, intersecting at a point.
Indirect Reasoning Assuming that a conclusion was false and then showing that this assumption led to a contradiction.
Indirect Proof/ Proof by Contradiction Assume that what you are trying to prove is false.

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