5-2 Medians and Altitudes of Triangles

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Presentation transcript:

5-2 Medians and Altitudes of Triangles Vocab: Median: A segment with endpoints being a vertex of a triangle and the midpoint of the opposite side Centroid: The point of concurrency of the medians of a triangle Altitude: A segment from a vertex of a triangle to the line containing the opposite side and perpendicular to the line containing the side Orthocenter: The point of concurrency of the altitudes of a triangle Incenter: The point in a triangle equidistant from each side

Identifying Medians and Altitudes Ex 1: Identify a median and an altitude

The Centroid Theorem The centroid is 2/3 of the distance from each vertex to the midpoint on the opposite side Ex 2: In △ABC, U is the centroid and BU = 16. Find UK and BK.

Using the Centroid Theorem Ex 3: In △ABC, AU = 16, BU = 12, and CF = 18. Find each interior measure.

Classwork/Homework P. 340-341 5-10, 16-30 even