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a triangle is a segment that connects the midpoints of two sides of the triangle.
a point two objects if it is the same distance from the objects.
the distance from a point to a line is the length of from the point to the line.
when three or more lines intersect at one point they

The midsegment of a triangle is a segment that connects the midpoints of two sides of the triangle.
A point is equidistant from two objects if it is the same distance from the objects.
The distance from a point to a line is the length of the perpendicular line segment from the point to the line.

When three or more lines intersect at one point they are they are concurrent. The pointat which they intersect is the point of concurrency.
hope this helps