Partitioning Segments Worksheet
This worksheet focuses on partitioning line segments in a given ratio, including finding coordinates of a point that divides a segment.
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Partitioning Segments
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Read each question carefully and follow the instructions to find the partitioned point on the line segment.
1. To partition a segment means to divide it into a given .
2. If a point P divides a segment AB in the ratio m:n, then P is of the way from A to B.
3. The formula for partitioning a segment on a number line is x = x1 + ( )(x2 - x1).
4. On the number line below, find the point P that partitions the segment from -5 to 10 in a ratio of 2:3.
5. Find the point Q that partitions the segment from 2 to 18 in a ratio of 1:3.
6. Find the coordinates of the point P that divides the segment with endpoints A(-4, 2) and B(8, 10) in a ratio of 1:3.
7. A segment has endpoints C(1, 7) and D(11, -3). Find the coordinates of the point Q that partitions the segment CD such that CQ:QD = 3:2.
8. What is the midpoint of the segment with endpoints (3, -2) and (-5, 6)?
(-1, 2)
(4, 4)
(1, -2)
(0, 0)
9. A point P divides a segment AB such that AP = 2PB. What is the ratio AP:AB?
1:2
2:1
2:3
3:2
10. The midpoint of a segment partitions the segment in a 1:1 ratio.
True
False
11. To find a point that partitions a segment in a given ratio, you always divide the segment into an equal number of parts.
True
False
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