Question

In the quadrilateral (2) given below,AB || DC || EG. IF E is mid point of AD prove that
(I) G is mid point of BC
(II) 2 EG = AB + CD ​

Answer 1

Answer:

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Step-by-step explanation:

Given:- AB∥dC,E and F are mid-points of AD and BD respectively.

To prove:- G is the mid-point of BC

Proof:-

In △ABD,

DF=BF(∵F is the mid-point of BD)

Also, E is the mid-point of AD(Given)

Therefore,

EF∥AB and EF=  

2

1

​  

AB.....(1)

⇒EG∥CD(∵AB∥CD)

Now,

F is the mid-point of BD and FG∥DC

∴G is the mid-point of BC

Hence proved.