Median Theorem

Autor:kathleenh

The median of a triangle is a line segment from a triangles vertex to the midpoint of the opposite side. The medians of triangle ABC all intersect at what point?

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Select "Median A". Compare the distance from A to M and M to the midpoint of the opposite side (BC). What do you notice? Is this observation true for median B and median C?

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What conclusions can be made based on this exploration?

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A
The medians of a triangle meet at a point
B
The point where the medians intersect divides the median is a ratio of 1:2
C
The point where the medians intersect divides the median is a ratio of 2:1
D
The point where the medians intersect is 1/3 of the way from the vertex to the midpoint of the opposite side
E
The point where the medians intersect is 2/3 of the way from the vertex to the midpoint of the opposite side

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Median Theorem

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