Mathematics

Theme:

Plane Geometry / समतल ज्यामिति

Q14 2019, Plane Geometry

• The given parallelogram is

Case I - Parallelograms of 1 × 1 (ABFE type) - ABFE, BCGF, CDHG, EFJI, FGKJ, GHLK, IJNM, JKON, KLPO – total 9.

Case II - Parallelograms of 1 × 2 (ACGE type) - ACGE, BDFH, EGKI, FHLJ, IKOM, JLPN – total 6.

Case III - Parallelogram of 2 × 1 (ABJI type) - ABJI, EFNM, BCKJ, FGON, CDLK, GHPO – total 6.

Case IV - Parallelograms of 1 × 3 (ADHE type) - ADHE, EHLI, ILPM – total 3.

Case V - Parallelograms of 3 × 1 (ABNM type) - ABNM, BCON, CDPO – total 3.

Case VI - Parallelograms of 2 × 2 (ACKI type) - ACKI, BDLJ, EGOM, FHPN – total 4.

Case VII - Parallelograms of 3 × 2 (ADLI type) - ADLI, EHPM – total 2.

Case VIII - Parallelograms of 2 × 3 (ACOM type) - ACOM, BDPN – total 2.

Case IX -Parallelograms of 3 × 3 (ADPM type) – ADPM – total 1.

Total 36.