Count the number of parallelogram in the given figure. p> ?->(Show Answer!)

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1. Count the number of parallelogram in the given figure.

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By: guest on 02 Jun 2017 01.57 am

The figure may be labelled as shown. The simplest ||gms are ABFE, BCGF, CDHG, EFJI, FGKJ and GHLK. These are 6 in number. The parallelograms composed of two components each are ACGE, BDHF, EGKI, FHLJ, ABJI, BCKJ and CDLK. Thus, there are 7 such parallelograms. The parallelograms composed of three components each are ADHE and EHLI i.e. 2 in number. The parallelograms composed of four components each are ACKI and BDLJ i.e. 2 in number There is only one parallelogram composed of six components, namely ADLI. Thus, there are 6 + 7 + 2 + 2 + 1 = 18 parallelograms in the figure.

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MCQ->Count the number of parallelogram in the given figure.

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