Question

2. ABCD is quadrilateral E, F, G and H are the midpoints of AB, BC, CD and L
respectively. Prove that EFGH is a parallelogram​

Answer 1

Answer:

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Step-by-step explanation:

Given ABCD is a quadrilateral E,F,G,H are the midpoint of AB,BC,CD,DA respectively

In ΔADC

H and G the mid point of AD and DC

∴GH∥AC

And GH=

2

1

AC

In ΔABC

E and F the mid point of AB and BC

$$\therefore EF\parallel AC$$

And EF=

2

1

AC

So EF=GH and EFIIGH

So the quadrilateral EFGH

Opposite sides are parallel and equal

Then EFGH is a parallelogram