Partitioning Segments Worksheet

Grade 7 Math worksheet on partitioning segments, including questions on finding points that divide segments in given ratios on a number line and coordinate plane.

Grade 7 Math GeometryPartitioning a Segment

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2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.7.G.A.1

Topics

mathgeometrypartitioning segmentsgrade 7

7 sections · Free to use · Printable

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Partitioning Segments

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Read each question carefully and show your work. Answer all questions to the best of your ability.

1. Find the point P that partitions the segment from A at -5 to B at 15 in the ratio 3:2.

2. A segment has endpoints C at 2 and D at 10. Which point partitions the segment CD in a ratio of 1:3?

3. To partition a segment AB with endpoints A(x1) and B(x2) in a ratio of m:n, the formula for the partitioned point P(x) is x = .

4. Find the coordinates of the point P that partitions the segment with endpoints E(-4, 6) and F(11, -4) in the ratio 3:2.

5. If a segment is partitioned in a ratio of 1:1, the partitioning point is the midpoint of the segment.

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