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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.