Question

Find the coordinates of the point Q on the x-axis which lies on the perpendicular bisector of the line segment joining the points A(–5, –2) and B(4, –2). Name the type of triangle formed by the points Q, A and B.

Answer 1

Point Q is the midpoint of AB as the point P lies on the perpendicular bisector of AB.

By midpoint formula:

`(x_1 + x_2)/2 = (-5 + 4)/2`

= `-1/2`

x = `-1/2`

Given that,

P lies on x-axis,

So y = 0

P(x, y) = `(-1/2, 0)`

Therefore, it is an isosceles triangle