Question

PLEASE HELP, 10TH GRADE GEOMETRY (REAL ANSWERS PLSSSS)

Four points partition the directed line segment from A to B.

• Point P partitions the directed line segment from A to B into a 3:4 ratio.
• Point Q partitions the directed line segment from A to B into a 4:3 ratio.
• Point R partitions the directed line segment from A to B into a 2:5 ratio.
• Point S partitions the directed line segment from A to B into a 5:2 ratio.





Which point will lie closest to B?


P

Q

R

S

Answer 1

point S

Explanation:

got 100%

Answer 2

The correct option is 4.

Explanation:

Let the line AB divided into 7 equal parts.

It is given that point P partitions the directed line segment from A to B in 3:4. It means 3 parts are before P and 4 partes are after P.

It is given that point Q partitions the directed line segment from A to B in 4:3. It means 4 parts are before Q and 3 partes are after Q.

It is given that point R partitions the directed line segment from A to B in2:5. It means 2 parts are before R and 5 partes are after R.

It is given that point S partitions the directed line segment from A to B in 5:2. It means 5 parts are before S and 2 partes are after S.

From the below figure we can say that point S is closest to point B.

It is also written as

`A<(2)/(7)<(3)/(7)<(4)/(7)<(5)/(7) <B`

`A<R<P<Q<S<B`

Therefore option 4 is correct.