Question

Find the coordinates of the midpoint of the segment whose end oints are given below. Explain how you arived at your answer?

Answer 1

where are the segments

i can't able to see

Answer 2

To arrive at the coordinates of midpoint, let us consider the coordinates of the midpoint to be P(x,y).

●Let the line segment be AB where coordinates of A and B are A(x1, y1) and B(x2, y2) respectively.

●Now, the midpoint P will divide the line segment AB into two equal halves AP and BP i.e divides them in the ratio of 1:1

● Therefore applying the mid point theorem of coordinate geometry, the coordinates of P are as follows:-

$x = \frac{x1 + x2}{1 + 1} = \frac{x1 + x2}{2}$

$y = \frac{y1 + y2}{1 + 1} = \frac{y1 + y2}{2}$

P{(x1+x2)/2 , (y1+y2)/2}