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Date: Sec 5-4 Concept: Medians and Altitudes of a Triangle Objective: Given properties of medians and altitudes of triangles, we will solve problems as measured by a s.g.

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Vocabulary and Theorems: Median of a Triangle: a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side Median

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Centroid: The centroid is the point of concurrency of the medians of a triangle. Centriod The centriod is known as a balancing point

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Thm 5.7: Concurrency of Medians of a Triangle The medians of a triangle intersect at a point that is 2/3 the distance from each vertex to the midpoint of the opposite side. 5 10

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Altitude: The altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side Altitude

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Orthocenter: The orthocenter is the point of concurrency of the altitudes of the triangle Orthocenter

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Thm 5.8: Concurrency of Altitudes of a triangle The lines containing the altitudes of a triangle are concurrent All altitudes intersect

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