Count the number of triangles and squares in the given figure.
The figure may be labelled as shown
Triangles :
The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number
The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number.
The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number.
Total number of triangles in the figure = 18 + 16 + 6 =40.
Squares :
The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number
The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number
Total number of squares in the figure = 3 + 4 =7
The simplest triangles are BFG, CGH, EFM, FMG, GMN, GHN, HNI, LMK, MNK and KNJ i.e. 10 in number.
The triangles composed of three components each are FAK and HKD i.e. 2 in number.
The triangles composed of four components each are BEN, CMI, GLJ and FHK i.e. 4 in number.
The triangles composed of eight components each are BAJ and OLD i.e. 2 in number.
Thus, there are 10 + 2 + 4 + 2 = 18 triangles in the given figure.
NA
There are 13 circles in the given figure. This is clear from the adjoining figure in which the centres of all the circles in the given figure have been numbered from 1 to 13.
NA
Except in figure (1), in all other figures there is one type of lining. In figure (1) there are both vertical and horizontal lines.
NA
According to given question figure ,
we can say that the mirror image always be opposite the original image across the given line. Given image will become opposite in mirror across the given line AB.As shown in given below .
Answer A
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