Question

in the given figure ABCD is a parallelogram and e is the midpoint of a line Guruji drawn parallel to eat with a be produced at A and B CHL prove that f is equal to 2 DC and DFis equal to 2 DL

Answer 1

Answer:

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Step-by-step explanation:

Solution

Given, E is mid point of AD

Also EB∥DF

⇒ B is mid point of AF    [mid--point theorem]

so, AF=2AB    

Since, ABCD is a parallelogram,

CD=AB

⇒AF=2CD

AD∥BC⇒LB∥AD

In ΔFDA

⇒LB∥AD

⇒  LD  LF ​  =  AB  FB  =1    from (1)

⇒LF=LD

so, DF=2DL