Question

In each question there is a figure and answer the question from the figure.

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, 1GB, i.e. 4 in number.
The triangles composed of three components each are - DAB, DCB i.e, 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, DECO, EABG, i.e. 4 in number.The quadrilateral composed of your components components is - ABCD
So quadrilaterals are = (4 + 4 + I) = 9