Question

Point P partitions the directed segment from A to B into a 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not? Yes, they both partition the segment into a 1:3 ratio.Yes, they are both  the distance from one endpoint to the other.No, P is  the distance from A to B, and Q is  the distance from B to A.No, Q is closer to A and P is closer to B. 

Answer 1

Dividing the line segment AB into ratio 1:3 or 3:1 means dividing the line segment into four equal lengths, as shown in the diagram below.

Point P is the point that divides the line into 1 part and 3 parts, from A.

Point Q is the point that divides the line into 1 part and 3 parts, from B

Hence, P and Q are points on different position

Answer 2

Its "No, P is the distance from A to B, and Q is the distance from B to A"