Geomentry

posted by Mack

What is the converse of the theorem statement: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

If two sides of a triangle are divided in the same proportion, then the line connecting the dividing points on the sides is parallel to the third side of the triangle.

But how do I write it? Example: is it

A. In triangle QRS, ig RT/TQ=RU/US, then side TU is parallel to side QS.

B. In triangle ABC, if CD=DA and CE=EB,then side DE is parallel to side AB and DE=1/2AB

c. In triangle QRS, if side TU is parallel to side QS, then RT/TQ=RU/US.



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