Question

The point in line segment AB through which the perpendicular bisector of the segment joining the points A(7,1) B(3,-3) is ​

Answer 1

Given,

The coordinates of the endpoints = A(7,1) and B(3,-3)

To find,

The point on segment AB by which the perpendicular bisector of segment AB passes through.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

We have to calculate the midpoint of segment AB

Midpoint of segment AB = (7+3)/2 , (1-3)/2 = (5,-1)

(By, this point the perpendicular bisector of segment AB passes through, because perpendicular bisector of a segment passes through the midpoint of that segment.)

Hence, the perpendicular bisector passes through (5,-1) point.

Answer 2

Solution :-

We can simply solve this mathematical problem by using the following mathematical process.

We have to calculate the midpoint of segment AB

Midpoint of segment AB = (7+3)/2 , (1-3)/2 = (5,-1)

(By, this point the perpendicular bisector of segment AB passes through, because perpendicular bisector of a segment passes through the midpoint of that segment.)

Hence, the perpendicular bisector passes through (5,-1) point.

Hope it's helpful for you....