Question

three non collinear points P,Qand R are given. Complete the parallelogram PQRS.

Answer 1

hello ^^^^^✓✓✓✓$$$You have studied many properties of a triangle in Chapters 6 and 7 and you know that

on joining three non-collinear points in pairs, the figure so obtained is a triangle. Now,

let us mark four points and see what we obtain on joining them in pairs in some order.

Fig. 8.1

Note that if all the points are collinear (in the same line), we obtain a line

segment [see Fig. 8.1 (i)], if three out of four points are collinear, we get a triangle

[see Fig. 8.1 (ii)], and if no three points out of four are collinear, we obtain a closed

figure with four sides [see Fig. 8.1 (iii) and (iv)].

Such a figure formed by joining four points in an order is called a quadrilateral.

In this book, we will consider only quadrilaterals of the type given in Fig. 8.1 (iii) but

not as given in Fig. 8.1 (iv).

A quadrilateral has four sides, four angles and four vertices [see Fig. 8.2 (i)].

Fig. 8.2

© NCERT

not to be re

please mark me brilliant please help me next rank