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CBSE Class 10 Answered

abcd is trapezium in which ad is parallel to bc.e and f are mid points of sides ab and cd respectively .prove that ef is parallel to ad
Asked by mkvinvestments6 | 16 Sep, 2015, 06:16: PM
answered-by-expert Expert Answer

 

E x t e n d space B A space a n d space C D space t o space m e e t space a t space X. S i n c e space A D vertical line vertical line B C comma space triangle X A D space i s space s i m i l a r space t o space triangle X B C. rightwards double arrow fraction numerator X A over denominator A B end fraction equals fraction numerator X D over denominator D C end fraction rightwards double arrow fraction numerator X A over denominator begin display style 1 half end style A B end fraction equals fraction numerator X D over denominator begin display style 1 half end style D C end fraction rightwards double arrow fraction numerator X A over denominator A E end fraction equals fraction numerator X D over denominator D F end fraction space open parentheses S i n c e comma space E space a n d space F space a r e space m i d p o i n t s space o f space A B space a n d space C D space r e s p e c t i v e l y close parentheses rightwards double arrow triangle X A D space i s space s i m i l a r space t o space triangle X A D. rightwards double arrow A D vertical line vertical line E F

Answered by | 16 Sep, 2015, 06:54: PM

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