Segments of Triangles

Definitions and theorems using Perpendicular and angle bisectors, medians and altitudes

10 cards | Total Attempts: 189 | Created by dgronewold | Last updated: Sep 21, 2015 | Total Attempts: 189

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Perpendicular Bisector

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Philosophy Exam #2

Front	Back
Perpendicular Bisector	A line, ray or segment that divides a segments into two congruent parts.
Perpendicular Bisector Theorem	Any point of the perpendicular bisector of a segments is equidistant from the endpoints of the segment.
Concurrent Lines	Three or more lines are concurrent if they intersect at exactly one point.
Point of Concurrency	The point where concurrent lines intersect.
Circumcenter	The point of intersection of the 3 perpendicular bisectors of a triangle.
Theorem - Circumcenter	The circumcenter of a triangle is equidistant from the vertices of the triangle.
Angle Bisector	A line, ray or segment that divides an angle into two smaller congruent angles.
Angle Bisector Theorem	Any point of the bisector of an angle is equidistant from the sides of the angle (measured perpendicularly.)
Incenter	The point of intersection of the angle bisectors of a triangle.
Theorem - Incenter	The incenter of a triangle is equidistant from the sides of the triangle (measured perpendicularly.)