Question

EFGH is a rectangle and L, M, N and O are mid-points of the sides EF, FG, GH and HE respectively. Show that the quadrilateral LMNO is a rhombus.

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Answer 1

Step-by-step explanation:

Area of HFG=

2

1

× Area of HDCF (Parallelogram and triangle on same base)

Multiplying by 2

2× Area of HGF=2×[

2

1

×AreaHDCF]

Area of HGFE =

2

1

×ABCD

Hence proved.