Secondary Parts of a Triangle

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-a presentaion used in one of my local demonstrations as a student-teacher.

Transcript of Secondary Parts of a Triangle

Page 1: Secondary Parts of a Triangle
Page 2: Secondary Parts of a Triangle
Page 3: Secondary Parts of a Triangle

ALTITUDE

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Altitude

An altitude of a triangle is a perpendicular segment from a vertex of

the triangle to the opposite side or to the line containing the opposite side.

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Orthocenter

point of concurrency of the three altitudes

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MEDIAN

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Median

A median is a segment whose endpoints are a vertex of the triangle

and the midpoint of the opposite side.

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Centroid

point of concurrency of the three medians

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ANGLE BISECTOR

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Angle Bisector

An angle bisector of a triangle is a segment which bisects an angle and whose endpoints are a vertex of the triangle and a point on the opposite

side.

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Incenter

point of concurrency of the three angle bisectors

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PERPENDICULAR BISECTOR

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Perpendicular Bisector

A perpendicular bisector of a side of a triangle is a line perpendicular to the

sides at its midpoint and it is equidistant to the endpoints of the

given segment.

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Circumcenter

point of concurrency of the three perpendicular

bisectors

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A triangle has 3 altitudes, 3 medians, 3 angle bisectors and 3

perpendicular bisectors.

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