Question 1130861


A line segment joining two adjacent vertices of a polygon is called an{{{ edge}}}. A line segment joining two non-adjacent vertices is called a {{{diagonal}}}.

Sometimes you need to find the point that is exactly between two other points. This middle point is called the "{{{midpoint}}}". By definition, a {{{midpoint}}} of a line segment is the point on that line segment that {{{divides}}} the{{{ segment}}} in two {{{congruent}}}{{{ segments}}}.

If the end points of a line segment is ({{{x[1]}}}, {{{y[1]}}}) and ({{{x[2]}}}, {{{y[2]}}}) then the midpoint of the line segment has the coordinates:

({{{(x[1]+x[2])/2}}},{{{(y[1]+y[2])/2}}})

In a triangle, the {{{midline}}} joining the midpoints of two sides is parallel to the third side and half as long. Conversely, the line joining points on two sides of a triangle, parallel to its third side and half as long is a {{{midline}}}.