Question

9) (Class7 - 9) Subject Work Sheet - 4 Number of independent measurments are requiared to construct a unique the 2 quadrilateral is A) 5 B) 4 C) 3 D) 2 3 2 Which of the following quadrilateral can construct when two diagnals are given? A) Rhombus B) Square C) Both D) None 3 The figures have some shape and size are called 4. The method of drawing enlarged or reduced similar figures is called 5. Activities : a) Draw three tessellation and name the basic shapes used on your tessellation 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? c) Construct a quadrilateral PQRS with PQ = 3.5 cm., QR - 4 cm., RS - 5 cm, PS =4.5 cm and QS = 6.5 cm​

Answer 1

Answer:

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

Explanation: