The parallelograms composed of two components each are ADME, DFNM, EMOG, FHJN, MNKO, GOLI, HBJN, NJKO, OKLI, FHNM, MNOG, DFME, HJKN, NKLO, OLCI, FNOM, MOIG and DMGE. i.e. 18 in number.
The parallelograms composed of four components each are HOKB, NILJ, FGOH, HOLJ, NICK, FGIN, FMJB, DENH, MGKJ, MGCL, DEIO, FMLK, AENF, AGOD, DMJH, DOKF, EILM and EGKN i.e. 18 in number.
The parallelograms composed of six components each are AEJH, DAIL, DECL, DEJB, HILB and HICJ i.e. 6 in number.
The parallelograms composed of eight components each are FGKB, FGCK and AGKF i.e. 3 in number.
Total number of parallelograms in the figure = 18 + 18 + 6 + 3 = 45.
Figures 2 and 4 are identical.
NA
The simplest triangles are AKI, AIL, EKD, LFB, DJC, BJC, DHC and BCG i.e. 8 in number.
The triangles composed of two components each are AKL, ADJ, AJB and DBC i.e. 4 in number.
The triangles composed of the three components each are ADC and ABC i.e. 2 in number.
There is only one triangle i.e. ADB composed of four components.
Thus, there are 8+ 4 + 2 + 1= 15 triangles in the figure.
As per the given figure in above question, we can say that
From first figure to second figure the circle and the rectangle interchange positions and the upper shaded square moves to the lower side.
Thus , figure ( 3 ) will come on the place of ? in question figure .As shown in answer figures .
NA
NA
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