State the converse of "Basic Proportionality Theorem" and use it to prove the following : Line segment joining mid-points of any two sides of a triangle is parallel to the third side.

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TextConverse of Basic Proportionality TheoremCBSE PYQ

Similar Questions

If a line drawn parallel to one side of triangle intersecting the other two sides in distinct points divides the two sides in the same ratio, then it is parallel to third side. State and prove the converse of the above statement.

TextConverse of Basic Proportionality TheoremAA Similarity Criterion for Triangles

Prove that a line drawn parallel to one side of a triangle to intersect the other two sides in distinct points divides the other two sides in the same ratio. Hence, in the figure given below, prove that AM/MB = AN/ND where LM || CB and LN || CD.

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Basic Proportionality Theorem (Thales Theorem)