Question

Which theorem is the following?

"If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment"

Answer 1

Perpendicular bisector theorem

Explanation:

The illustration of the theorem is:

If point B is a perpendicular bisector of Line AC and the length of AC is 10cm

Then

`AB + BC = 10`

Where

`AB = BC` --- Perpendicular bisector

So, the equation becomes

`AB + AB =10`

`2AB =10`

`AB = 5`

Recall:
`AB = BC`

`AB = BC = 5`