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Geometry · Chapter 9 · Lesson 9.1 · Printable PDF

Partitioning a Segment in a Given Ratio Worksheet with Answer Key

6 problems on partitioning a segment in a ratio: finding the fraction of the way, points on directed segments, three equal pieces, a student's error, and a general formula. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Partitioning a segment in a given ratio worksheet with answer key - Geometry (Page 1 PDF preview)
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What's on the worksheet

  1. Give the fraction of the way from A to B for each ratio:
    AP : PB = 1 : 4AP : PB = 5 : 3AP : PB = 6 : 9BP : PA = 2 : 7AP : PB = 1.5 : 2.5
  2. Find the point that partitions a directed segment in the ratio 2 to 3 and check it.
  3. Find the point twice as far from B as from A, and a point cutting the segment 3 to 1.
  4. Find the ends of a segment from two points that cut it into three equal pieces.
  5. Find the ratio a student's point actually gives and correct it.
  6. Show two points partitioning a segment in the same ratio from opposite ends are related.

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The free lesson teaches it with worked examples and practice problems.

Partitioning a segment in a given ratio: the lesson ›

More Chapter 9 worksheets: Coordinate geometry and coordinate proof