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ABCD is a parallelogram such that AB = 2 AD
E is the midpoint of (AB) and F is the midpoint of [CD]
1) Prove that AEFD and BCFE are rhombuses.
2) Prove that triangle AFB is a right triangle.
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Let us draw a parallelogram ABCD Where F is the midpoint Of side DC of parallelogram ABCD
To prove : AEFD is a parallelogram
Proof Therefore ABCD
AB || DC
BC || AD
AB || DC
2
1
AB=
2
1
DC
AE = DF
Also AD || EF
Therefore ,AEFC is a parallelogram.
solution
Let us draw a parallelogram ABCD Where F is the midpoint Of side DC of parallelogram ABCD
To prove : AEFD is a parallelogram
Proof Therefore ABCD
AB || DC
BC || AD
AB || DC
2
1
AB=
2
1
DC
AE = DF
Also AD || EF
Therefore ,AEFC is a parallelogram.
solution
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