Midpoint Theorem Summary


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  • Midpoint Theorem

The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side.

  • Converse of mid point theorem - The straight line drawn through the mid point of one side of a triangle, parallel to another, bisects the third side.
  • The Intercepts Theorem

If three or more parallel lines make equal intercepts on a transversal, then they make equal intercepts on any other transversal.

  • A line parallel to one side of a triangle, divides the other two sides proportionally (Basic Proportionality Theorem).
  • Using the above results, we can divide a line segment into a number of equal parts.


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