309. All the parallelograms

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There are 5 parallelograms in the figure above.

Move 3 matchsticks to create 15 parallelograms.

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The 15 parallelograms are:

4 of size ½X1:
ADEB, DIHE, BEFC, EHGF

5 of size 1X1:
AIHB, BHGC, JQPK, KPOL, LONM

2 of size ½X2:
ADFC, DIGF

3 of size 2X1:
AIGC, JQOL, KPNM

1 of size 3X1:
JQNM

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