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[Maths] MATH QUESTION!!!~

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MATH QUESTION!!!~

HELP!!: em01
In the figure ABCD is a parallelogram and M is the mid-point of BC. AM and BD intersect at E.
Which of the following must be correct??
I.  AE:EM=2:1
II. BEM is an isosceles triangle
III.Area of ABE : Area of DEMC=2:5


how to prove II not true??

and

how to prove III true?
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III:
as AE:EM=2:1(proved)
thus,ares of AED:area of BEM=4X:X
hence,area of ABE:area of BEM=2X:X
as ABCD is a parallelogram,
thus, area of ABD:area of BCD=1:1
area of ABD=2X+4X=6X
thus,area of BCD=6X
area of DEMC+X=6X
ares of DEMC=5X
Area of ABE : Area of DEMC
=2X:5X
=2:5

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oh!!thankyou very much!!!

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