Question

write the perpemdicular bisector of A(0,0), B(-3,4).

Answer 1

by mid point formula

Answer 2

Answer:

$\text{The perpendicular bisector is }(\frac{-3}{2},2)$

Step-by-step explanation:

Given the points A(0,0) and B(-3,4)

we have to find the perpendicular bisector of AB.

As perpendicular bisector bisect the given line segment in two equal parts i.e passes through mid-point of AB.

By mid-point formula,

If (a,b) and (c,d) are the two points then coordinate of mid-point joining the points (a,b) and (c,d) are

$(\frac{a+c}{2},\frac{b+d}{2})$

Hence, the coordinates of mid-point joining the points A(0,0) and B(-3,4) are

$(\frac{0-3}{2},\frac{0+4}{2})$

$=(\frac{-3}{2},2})$

$\text{The perpendicular bisector is }(\frac{-3}{2},2)$