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Properties of the median - extension

The geometric locus of the centroid of a triangle

Complete the following sentence: If the vertex of a triangle moves on a line segment, the geometric locus of the triangle's centroid is a ..............................................

The ratio between the length of the segment formed and the length of segment EF is:

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Complete the following sentence: If the vertex of a triangle moves on a circle, the geometric locus of the triangle's centroid is a ..............................................

The ratio between the radius of the blue circle and the radius of the red circle is:

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