Question

mark three points A,B and C.draw lines connecting these point taking two points at a time name these lines identify the geometric shape thus formed maths​

Answer 1

Step-by-step explanation:

If there are n points in a plane and no three of them are collinear, the number of line segments obtained by joining these points is equal to n(n−1)2.

On applying the above formula, we get:

(i) For two points A and B:

Number of line segments = 2(2−1)2=1

(ii) For three non-collinear points A, B and C:

Number of line segments = 3(3−1)2=3×22=3

(iii) For four points such that no three of them belong to the same line:

Number of line segments = 4(4−1)2=4×32=6

(iv) For any five points so that no three of them are collinear:

Number of line segments = 5(5−1)2=5×42=10