Question

S
In a llam NED, E and F are the mid-ponts
sides ro and co respectively
show that he
Segments of and El
trisect the diagonal
E​

Answer 1

Step-by-step explanation:

ANSWER

ABCD is ∥gm

AB∥CD

AE∥FC

⇒AB=CD

     

1 /2AB=  1/2 CD

   AE=EC

AECF is ∥gm

In △DQC

F is mid point of DC  

FP∥CQ

By converse of mid point theorem P is mid point of DQ

⇒DP=PQ     (1)

∴AF and EC bisect BD

In △APB

E is mid point of AB

EQ∥AP

By converse of MPT ( mid point theorem )

Q is mid point of PB

⇒PQ=QB   (2)

By (1) and (2)

⇒PQ=QB=DP

AF and EC bisect BD..