Question

If line m bisects ab at point p, and if ap= 1/2y and PB = y - 2, then find ab

Answer 1

AB = 4

Explanation:

Since point P bisects AB, we have ...

AP = PB

y/2 = y - 2

0 = y/2 - 2 . . . . subtract y/2

0 = y - 4 . . . . . . multiply by 2

4 = y . . . . . . . . . add 4

Now, we can find AB:

AB = 2(AP) = 2(1/2y) = y

AB = 4