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Line Equations, Midpoints, and Segment Partitioning: Homework Worksheet

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This homework worksheet focuses on important concepts in geometry, including writing the equation of a line parallel to a given line and calculating midpoints of line segments. Students will learn to use the midpoint formula to find midpoints for given pairs of points and how to derive the other endpoint when the midpoint and one endpoint are known. The worksheet also covers the partition of line segments in given ratios, providing practice in spatial reasoning and algebraic skills.

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Line Equations, Midpoints, and Segment Partitioning: Homework Worksheet

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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) 2. (5, -2) and (6, 14) (5.5, 6)

  6. Find the midpoint. 3. (3, -9) and (14, 16) 4. (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. Midpoint Worksheet Classwork

  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. Partitioning Segments Worksheet Homework

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