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Please help! Problem: \"Prove that the figure formed by connecting the midpoints of the sides of any quadrilateral is a parallelogram. Hint: a line segment connecting the midpoints of 2 sides of a triangle is parallel to the 3rd side.
\n" ); document.write( "LET ABCD BE THE QUADRILATERAL AND E,F,G,H BE THE MIDPOINTS OF AB,BC,CD,DA.
\n" ); document.write( "JOIN EFGH.JOIN THE DIAGONAL AC.
\n" ); document.write( "IN TRIANGLE ABC,
\n" ); document.write( "E IS MID POINT OF AB AND F IS THE MID POINT OF BC.....GIVEN
\n" ); document.write( "HENCE EF||AC AND
\n" ); document.write( "EF=AC/2......AS PER THEOREM.
\n" ); document.write( "SIMILARLY IN TRIANGLE ADC ,
\n" ); document.write( "G IS MIDPOINT OF CD AND H IS MIDPOINT OF AD.
\n" ); document.write( "HENCE GH||AC AND
\n" ); document.write( "GH = AC/2..AS PER THEOREM.
\n" ); document.write( "HENCE EF=GH.
\n" ); document.write( "IN THE FIGURE EFGH,EF||GH AND EF=GH.
\n" ); document.write( "HENCE EFGH IS A PARALLELOGRAM \n" ); document.write( "