10th grade geometry (real answers pl)
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

The correct option is 4.

Step-by-step 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

Therefore option 4 is correct.

my guess would be b and d, but i didn’t actually get out the pen and paper. lol