Question

How many triangles and quadrilaterals are there in this figure?

• A. 7 and 6
• B. 6 and 7
• C. 6 and 8
• D. 6 and 9

Answer 1

The correct option is D 6 and 9

The figure may be labelled as shown:
The simplest triangles are -DHI, DEI, IFB, JGB, i.e. 4 in number.
The triangles composed of three components each are DAB, DCB i.e. 2 in number.
So, total triangles are $=(4+2)=6$
The simple quadrilaterals are - DEHI, HIGC, EIFA, FIGB i.e. 4 in number.
The quadrilaterals composed of two components each are DHFA, HFBC, DECG, EABG, i.e. 4 in number.
The quadrilateral composed of your components is - ABCD. So quadrilaterals are $=(4+4+1)=9$
Hence, option 'D' is correct.