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| Summary |
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 Midpoint Theorem |
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| The straight line joining the mid-points of two sides of a triangle is parallel to and equal to half the third side. |
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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. |
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The Intercepts Theorem |
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| If three or more parallel lines make equal intercepts on a transversal, then they make equal intercepts on any other transversal. |
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A line parallel to one side of a triangle, divides the other two sides proportionally (Basic Proportionality Theorem). |
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Using the above results, we can divide a line segment into a number of equal parts. |
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