Counting of Parallelograms
Counting of Parallelograms
Counting of Parallelograms :
In the counting of figures, you have a shape or a figure. From the given shape you will have to identify a given known shape and count the number of times it is present in the given shape. In thse types of questions, you have to count parallelograms in the given figure. Let us try some examples.
Example : In the following figuren, count the number of parallelograms.
A. 23
B 22
C. 21
D. 18
Answer : A
Explanation : The figure may be labelled as shown.
The simplest grms are EMLA and NIDJ i.e. 2 in number. The
grms composed of two components each are BFMG, CGNH, GMKN, FGME, MNKL, FGNM, GHIN, and MNJK i.e. 9 in number . The
grms composed iof 3 components each are FGLA, ENKA, GHDJ and MIDK i.e. 4 in number. The
grms composed of 4 components each are FGJK, GHKL, FBNK, CHKM, EFHN and MFHI i.e. 6 in number . The
grms composed of 7 components each are FHKA and FHDK i.e. 2 in number.
Total number of parallelograms in the figure = 2+9+4+6+2 = 23
Example : In the following figure, count the number of parallelograms.
A. 20
B. 18
C. 16
D. 12
Answer : B
Explanation : The figure may be labelled as shown .
The simplest grms are ABFE, BCGF, CDHG, EFJI, FGKJ and GHLK. There are 6 number . The
grms composed of two components each are ACGE, BDHF, EGKI, ABJI, BCKJ, and CDLK . Thus , there are 7 such
grms . The
grms composed of 3 components each are ADHE and AHLI i.e. 2 in number . The
grms composed of 4 components each are ACKI and BDLJ i.e. 2 in number. There is only 1
gm composed of six components ,namely ADLI . Thus , there are 6+7+2+2+1 = 18 parallelograms in the figures .
In the following figure, count the number of parallelograms.
| |||
| Right Option : C | |||
| View Explanation | |||
In the following figure, count the number of parallelograms.
| |||
| Right Option : A | |||
| View Explanation | |||
Find out the number of triangles in this figure.
| |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [10]
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
