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Finding Midpoints and Partitioning Line Segments in Coordinate Geometry

This document provides a comprehensive overview of finding midpoints between two points in a coordinate plane, as well as how to partition line segments in specified ratios. It covers the equation of a line parallel to a given line, examples of finding midpoints between pairs of ordered pairs, and applying the midpoint formula effectively. The worksheet includes exercises on both finding midpoints and partitioning segments, catering to various ratios. This resource is ideal for reinforcing the concepts of coordinate geometry and improving problem-solving skills.

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Finding Midpoints and Partitioning Line Segments in Coordinate Geometry

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  1. Warm up Write the equation of the line: Parallel to 8x – 2y = 6 and goes through (5, -2)

  2. Review HW

  3. Midpoint Given 2 ordered pairs, it’s the AVG of the x’s and AVG of the y’s.

  4. Midpoint Formula

  5. Find the midpoint. (.5, 5.5) 1. (3, 7) and (-2, 4) • (5, -2) and (6, 14) (5.5, 6)

  6. Find the midpoint. • (3, -9) and (14, 16) • (12, 17) and (-7, 9) (8.5, 3.5) (2.5, 13)

  7. Find the midpoint. 5. (2, 3)

  8. Find the midpoint. 6. (1.5, 4)

  9. Given the midpt and one endpt, find the other endpt. 7. Midpt (3, -6) Endpt (7, -3) (-1, -9)

  10. Given the midpt and one endpt, find the other endpt. 8. Midpt (-1, 2) Endpt (3, 0) (-5, 4)

  11. Given the midpt and one endpt, find the other endpt. 9. Midpt (-4, 6) Endpt (2, 1) (-10, 11)

  12. Classwork Midpoint Worksheet

  13. Partition Line Segments(1 Dimension)

  14. Partition – 1 Dimension • A is at 1, and B is at 7. • Find the point, T, so that T partitions A to B in a 2:1 ratio.

  15. Partition – 1 Dimension • A is at -6 and B is at 4. • Find the point, T, so that T is A to B in a 2:3 ratio.

  16. Homework Partitioning Segments Worksheet

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