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Questions and Answers
Find the coordinates of P so that P partitions the segment AB in the ratio of 5:1 if A(2,4) and B(8,10).
Find the coordinates of P so that P partitions the segment AB in the ratio of 5:1 if A(2,4) and B(8,10).
(7,9)
Find the coordinates of P so that P partitions the segment AB in the ratio of 1 to 3 if A(-5,4) and B(7,-4).
Find the coordinates of P so that P partitions the segment AB in the ratio of 1 to 3 if A(-5,4) and B(7,-4).
(-2,6)
Given the points M(-1,2) and N(7,14), find the coordinates of the point Q on directed line MN that partitions MN in the ratio of 1:3.
Given the points M(-1,2) and N(7,14), find the coordinates of the point Q on directed line MN that partitions MN in the ratio of 1:3.
(1,5)
Given the points J(-1,2) and K(5,2), find the coordinates of the point L on directed line JK that partitions JK in the ratio of 1:2.
Given the points J(-1,2) and K(5,2), find the coordinates of the point L on directed line JK that partitions JK in the ratio of 1:2.
Given the points A(-3,-4) and B(5,0), find the coordinates of the point P on directed line AB that partitions AB in the ratio of 2:3.
Given the points A(-3,-4) and B(5,0), find the coordinates of the point P on directed line AB that partitions AB in the ratio of 2:3.
Determine the point P that partitions the directed line segment AB into a ratio of 1:3, where A(-2,-5) and B(6,-1).
Determine the point P that partitions the directed line segment AB into a ratio of 1:3, where A(-2,-5) and B(6,-1).
Determine the point P that partitions the directed line segment AB into a ratio of 1:3, where A(2,-6) and B(6,-10).
Determine the point P that partitions the directed line segment AB into a ratio of 1:3, where A(2,-6) and B(6,-10).
Find the point P that partitions the directed line segment from (-3, -2) to (4,8) into a ratio of 3:2.
Find the point P that partitions the directed line segment from (-3, -2) to (4,8) into a ratio of 3:2.
Line segment RW has endpoints R(-4,5) and W(6,20). Point P is on RW such that RP:PW is 2:3. What are the coordinates of P?
Line segment RW has endpoints R(-4,5) and W(6,20). Point P is on RW such that RP:PW is 2:3. What are the coordinates of P?
Point M is on JK such that JM:MK is 2:3. If J has coordinates of (3,5) and K has coordinates of (8,-5), the coordinates of M are:
Point M is on JK such that JM:MK is 2:3. If J has coordinates of (3,5) and K has coordinates of (8,-5), the coordinates of M are:
Directed line segment AB has endpoints A(-8,-8) and B(2,7). Point P is on AB such that AP:PB is 2:3. What are the coordinates of point P?
Directed line segment AB has endpoints A(-8,-8) and B(2,7). Point P is on AB such that AP:PB is 2:3. What are the coordinates of point P?
Find the coordinates of P so that P partitions AB in a ratio of 3:4 with A(-9,-9) and B(5,-2).
Find the coordinates of P so that P partitions AB in a ratio of 3:4 with A(-9,-9) and B(5,-2).
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Study Notes
Partitioning Line Segments
- Points A and B are used as endpoints for segments needing partitioning.
- P represents the point dividing the segment in specified ratios.
Ratios and Coordinates
- P partitions segment AB in a ratio of 5:1 for A(2,4) and B(8,10), resulting in coordinates (7,9).
- Using A(-5,4) and B(7,-4) to find partition P in a ratio of 1:3 yields coordinates (-2,6).
- Given M(-1,2) and N(7,14), point Q partitions MN in the ratio of 1:3, resulting in coordinates (1,5).
- For points J(-1,2) and K(5,2) partitioned in a 1:2 ratio, L's coordinates are (1,2).
- A(-3,-4) and B(5,0) give point P coordinates (0.2, -2.4) for a 2:3 ratio.
- The directed segment from A(-2,-5) to B(6,-1) gives P coordinates (0,-4) in a 1:3 ratio.
- In segment AB, A(2,-6) and B(6,-10) yield P coordinates (3,-5) at a 1:3 ratio.
- From points (-3,-2) to (4,8), point P coordinates (1.2, 4) partition in a ratio of 3:2.
- Endpoint coordinates R(-4,5) and W(6,20) with RP:PW in a 2:3 ratio give point P at (0,11).
- For points J(3,5) and K(8,-5), point M divides in a 2:3 ratio, resulting in coordinates (5,9).
- Segments with A(-8,-8) and B(2,7) partitioned in a ratio of 2:3 lead to P at (-4,-2).
- Lastly, A(-9,-9) and B(5,-2) give P coordinates (-3,-6) for a ratio of 3:4.
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