 ## Book: NCERT - Mathematics

### Chapter: 4. Practical Geometry

#### Subject: Maths - Class 8th

##### Q. No. 1 of Exercises 4.1

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##### Construct the following quadrilaterals(i) Quadrilateral ABCDAB = 4.5 cmBC = 5.5 cmCD = 4 cmAD = 6 cmAC = 7 cm(ii) Quadrilateral JUMPJU = 3.5 cmUM = 4 cmMP = 5 cmPJ = 4.5 cmPU = 6.5 cm(iii) Parallelogram MOREOR = 6 cmRE = 4.5 cmEO = 7.5 cm(iv) Rhombus BESTBE = 4.5 cmET = 6 cm

(i) The rough sketch of this quadrilateral: (a) ΔABC can be constructed as follows: (b) Vertex D is 6 cm away from vertex A.

Hence, while taking A as centre, draw an arc of radius 6 cm (c) Taking C as centre, draw an arc of radius 4 cm which cuts the previous arc at point D. Now, Join D to A and C (ii) The rough sketch of this quadrilateral: (a) Δ JUP can be constructed as follows: (b) Vertex M is 5 cm away from vertex P and 4 cm away from vertex U

Now, Taking P and U as centers draw arcs of radii 5 cm and 4 cm respectively. Let the point of intersection be M (c) Now, Join M to P and U Hence, JUMP is the required quadrilateral

(iii) As we all know that opposite sides of a parallelogram are not only equal in length but also are parallel to each other

Therefore,

ME = OR,

MO = ER

The rough sketch of this parallelogram: (a) Δ EOR can be constructed as follows: (b) Vertex M is 4.5 cm away from vertex O and 6 cm away from vertex E. Hence, while taking O and E as centers, draw arcs of 4.5 cm radius and 6 cm radius respectively

Let, these will intersect each other at point M (c) Join M to O and E Therefore, MORE is the required parallelogram

(iv) As we all know that all sides of a rhombus are of the same measure

Therefore,

BE = ES = ST = TB

A rough sketch of this rhombus is as follows: (a) Δ BET can be constructed as follows: (b) Vertex S is 4.5 cm away from vertex E and also from vertex T.

Hence, taking E and T as centers, draw arcs of 4.5 cm radius, which will intersect each other at point S (c) Join these intersected arcs, we will get the required rhombus 1

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