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 r

Question

2 years ago

7

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 r

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

Mathematics

2 answers:

Paul [167] · Answer 1 · 2023-04-21T00:45:07+03:00

Paul [167]2 years ago

7 0

Answer:

C

Step-by-step explanation:

Ed2020

olga2289 [7] · Answer 2 · 2023-04-20T23:30:43+03:00

Answer:

c)No, P is the distance from A to B, and Q is the distance from B to A.

Step-by-step explanation:

Point P partitions the directed segment from A to B into a 1:3 ratio.

Ratio is 1:3

So AP is 1 and PB is 3

Q partitions the directed segment from B to A into a 1:3 ratio.

Ratio is 1:3

So BQ is 1 and QA is 3.

That is AQ= 3 and BQ= 1

The ratio of Q and P varies

AP =1 and AQ=3

So P and Q are not at the same point.

Because P is the distance from A to B and Q is the distance from B to A