Question

What will be the number of Parallelograms in the given figure?

• A. $15$
• B. $17$
• C. $13$
• D. $16$

Answer 1

Answer: (B)

$17$

A parallelogram has opposite sides parallel and opposite angles equal.Rectangles and squares are also parallelograms.Label the points of intersections of the figure as shown in the picture and count the parallelograms using follow the format given below.We will get a total of 17 parallelograms.

Components present in the parallelogram	Parallelogram	No: of parallelograms
1	BMJI , JOFK	2
2	BCDN, NDEF, ABLH, HLFG	4
3	BNJA, JNFG , BCJL, LJEF	4
4	ABFG	1
5	ACJH, HJEG, ACDJ, JDEG	4
6	BCEF	1
10	ACEG	1

Hence, option 'B' is correct.