Question

b) Draw two squares of different sides. Can you say they are similar ? Explain. Find the ratio of their perimeters and areas. What do you observe ?​

Answer 1

Answer:

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Step-by-step explanation:

WE KNOW THAT

A triangle has six elements – 3 sides and 3 angles. To construct a unique triangle, 3 elements out of six elements are required under a certain combination. A quadrilateral has 8 elements – 4 sides and 4 angles. In addition to these elements a quadrilateral has 2 diagonals which play an important role in determining the size and shape of a quadrilateral. Thus a quadrilateral has 10 elements (4 sides, 4 angles and 2 diagonals) or measurements.

CONSTRUCTING A QUADRILATERAL

To construct a unique quadrilateral we need to know 5 measurements (elements).Note: To construct a unique quadrilateral simply the knowledge of any five elements is not sufficient. We will need to know a combination of specific 5 elements.

VARIOUS COMBINATIONS OF ELEMENTS FOR CONSTRUCTING A UNIQUE QUADRILATERAL

With the help of the following measurement we can construct quadrilaterals.

                  (i)      Four sides and a diagonal.                    (ii)    Three sides and two diagonals.                    (iii)   Four sides and an angle.                    (iv)   Three sides and two included angles.                    (v)    Two adjacent sides and three angles.                    (vi)   Using special properties of a square or a rhombus, etc