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 Challenge
 Median of a Triangle:  A segment is a median of a triangle if and only if its endpoints are a vertex of the triangle and the midpoint of the side opposite the vertex.

Balancing the Centroid: Describe how a triangle's median is divided.

Medians of a Triangle: Determine the relationship between the coordinates of the vertices of a triangle and its centroid.

Perpendicular Bisectors: Describe the significance of the perpendicular bisectors of two segments that have endpoints on a given circle.

Find the Hidden Treasure: Determine a shortcut to find a treasure inside of a triangle.

Capture the Flag: Locate the best starting position in a game of capture the flag.