Using Slope to Partition Segments


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question 1 of 3

How do we partition a directed line segment AB with a ratio a/b?

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1. We want to find a point, P, that partitioned a line segment, AB, into the ratio 5/7. Find the ratio, c, that would tell us what fraction of AB that P would be from A to B.

2. Given a line segment AB, where A = (7,4) and B = (1,9), find the rise and the run of the slope of AB.

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About This Quiz and Worksheet

Inside this combination of a quiz and worksheet, you will work with the concept of partitioning line segments with slope. Questions ask about partitioning a segment with a specific ratio, as well as practice problems that ask you to find a specific ratio.

Quiz and Worksheet Goals

The questions of the quiz focus on the topics mentioned below:

  • How to partition a line segment with a given ratio
  • Finding the rise and run of a slope
  • Determining the ratio of a segment fraction
  • A point that would partition a line segment into a given ratio

Skills Practiced

  • Information recall - remember what you have learned about line segments
  • Problem solving - use what you know to solve practice problems involving partitioning and ratios
  • Knowledge application - utilize your skills to answer questions about finding a specific ratio

Additional Learning

To discover more, open the lesson titled Using Slope to Partition Segments. With it, you can look into the following extra material:

  • The slope formula
  • Additional practice problems with step-by-step instructions
  • Visual examples of line segments on graphs