Question

ABCD is quadrilateral E,F,G and H are the midpoints of AB,BC,CD and DA respectively.prove that EFGH is a parallelogram.


Wrong answers will be reported...​

Answer 1

PLEASE MARK THE BRAINLIEST

Step-by-step explanation:

Answer:

GIVEN, quad ABCD

E,F,G,H are mid points

To Prove, EFGH is a parallelogram.

Proof,

Join AC and BD,

In ∆ADC

H is mid point of AD and G is mid point of DC.

So by mid point theorem,

HG || AC and HG= AC/2.......(1)

Similarly,

EF ||AC and EF =AC/2........(2)

By (1) & (2),

HG || EF and HG=AF

We know,

If in a quad opposite sides are equal and parallel then it is a parallelogram.

Hence proved

Answer 2

Answer:

Step-by-step explanation:

Hope you get your answer in the image provided...