Partitioning Line Segments

This worksheet focuses on partitioning line segments into given ratios and finding coordinates of points on a number line and coordinate plane.

Grade 6 Math GeometryPartitioning a Line Segment

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.6.NS.C.6CCSS.MATH.CONTENT.6.G.A.3

7 sections · Free to use · Printable

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Read each question carefully and follow the instructions to partition the line segments.

1. On a number line, points A and B are at -5 and 15, respectively. Find the coordinate of point P that partitions the segment AB in the ratio 1:4.

2. If point M is the midpoint of segment CD, then M partitions CD in the ratio .

3. If a line segment is divided into 5 equal parts, and point Q is at the end of the second part, then Q partitions the segment in the ratio .

4. Points X and Y are on a number line at 3 and 18, respectively. Which point Z partitions segment XY in the ratio 2:3?

5. A line segment has endpoints at (1, 2) and (7, 14). Find the coordinates of the point that partitions the segment in a 1:2 ratio.

6. If a point P partitions a line segment AB in the ratio 3:1, then P is closer to B than to A.

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