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Glenco Geometry 5-1 Bisectors, Medians, and Altitudes

AB
What is the dotted line called?, Altitude
What is the red line called?, Angle Bisector
What is the intersection point called?, Centroid
What is the intersection point called?, Circumcenter
What are these three points? ----- (ONE name), Points of Concurrency
What is the point of intersection called?, Incenter
What are these lines called?, Lines of Concurrency
What do we call line BD?, Median
What the intersection point called?, Orthocenter
What is line DE called?, Perpendicular Bisector
Definition of Perpendicular BisectorA line that intersects and is perpendicular to a side
Definition of Concurrent LinesThree or more lines that intersect at a common point
Definition of Point of ConcurrencyThe point where concurrent lines intersect
Definition of CircumcenterThe point of concurrency of the perpendicular bisectors of a triangle
Definition of IncenterThe point of concurrency of the angle bisectors of a triangle
Definition of Angle BisectorA line that bisects an angle and intersects the opposite angle
Definition of MedianA line segment that connects a vertex with the midpoint of the opposite side
Definition of CentroidThe point where all the 3 medians of a triangle meet
Definition of AltitudeA segment that goes from the vertex and is perpendicular to the opposite side
Perpendicular Bisector Theorem --- Conditional StatementAny point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment,
Perpendicular Bisector Theorem --- Converse StatementAny point equidistant from the endpoints of a segment lies on the perpendicular bisector of the segment,
Circumcenter TheoremThe circumcenter of a triangle is equidistant from the vertices of the triangle.,
Angle Bisector Theorem --- Conditional StatementAny point on the angle bisector is equidistant from the sides of the angle,
Angle Bisector Theorem --- Converse StatementAny point equidistant from the sides of an angle lies on the angle bisector,
Incenter TheoremThe incenter of a triangle is equidistant from each side of the triangle,
Centroid Rule/TheoremThe centroid of a triangle is located at 2/3 of the distance from an angle to the opposite side,
Definition of OrthocenterThe intersection point of the altitudes of a triangle


Charles Learning
Sacramento, CA

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