Triangles :
The simplest triangles are AEI, EOI, OHI, HAI, EBJ, BFJ, FOJ, OEJ, HOL, OGL, GDL, DHL, OFK, FCK, CGK and GOK i.e. 16 in number.
The triangles composed of two components each are HAE, AEO, EOH, OHA, OEB, EBF, BFO, FOE, DHO, HOG, OGD, GDH, GOF, OFC, FCG and CGO i.e. 16 in number.
The triangles composed of four components each are HEF, EFG, FGH, GHE, ABO, BGO, CDO and DAO i.e. 8 in number.
The triangles composed of eight components each are DAB, ABC, BCD and CDA i.e. 4 in number.
Total number of triangles in the figure = 16 + 16 + 8 + 4 = 44.
Squares :
The squares composed of two components are HIOL, IEJO, JFKO and KGLO i.e. 4 in number.
The squares composed of four components are AEOH, EBFO, OFGC and HOGD i.e.4 in number.
There is only one square EFGH which is composed of eight components.
There is only one square ABCD which is composed of sixteen components.
Total number of squares in the figure = 4 + 4 + 1 + 1 = 10.
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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