Properties of the median - extension

[b][size=150][color=#ff0000]The geometric locus of the centroid of a triangle[/color][/size][/b]

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:

[math]\frac{2}{3}[/math] [math]\frac{1}{3}[/math] [math]\frac{1}{2}[/math] 1

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:

3 [math]\frac{1}{2}[/math] 2 [math]\frac{1}{3}[/math]

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Information: Properties of the median - extension