Question

points A, Q, and O are collinear. AO = 10, AQ =15, and OQ = 5. What must be true about their positions on the line?

Answer 1

Point O is between points A and Q

Explanation:

Given,

A, Q and O are collinear,

There are three possible cases,

Case 1 : A is between Q and O,

i.e. AQ + AO = QO

Case 2 : Q is between A and O,

i.e. AQ + QO = AO

Case 3 : O is between A and Q,

i.e. AO + OQ = AQ

We have given,

AO = 10, AQ =15, and OQ = 5.

∵ AO + OQ = AQ

⇒ Point O is between points A and Q