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Understanding Midpoint and Distance in Geometry

This chapter explores key concepts in geometry, specifically focusing on the midpoint of a line segment and the distance between two points. It defines the segment bisector and provides examples to find midpoints and distances using coordinates. The midpoint formula is illustrated with practical examples, such as finding the midpoint between points R(1,-3) and S(4,2), as well as calculating the distance between points R(3,1) and S(-1,-5). Understanding these concepts is crucial for mastery in geometry.

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Understanding Midpoint and Distance in Geometry

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  1. Chapter 1-3 (Midpoint and Distance) C M A B D Midpoint Segment Bisector The point that divides the segment in half. A point, ray, line, line segment, or plane That intersects the segment at its midpoint.

  2. Chapter 1-3 (Midpoint and Distance) Example Find RS Find AB

  3. Chapter 1-3 (Midpoint and Distance) Example

  4. Chapter 1-3 (Midpoint and Distance) Midpoint Formula Example Coordinates for the midpoint of a line segment The endpoints of RS are R(1, -3) and S(4, 2). Find the coordinates of the midpoint.

  5. Chapter 1-3 (Midpoint and Distance) Example The endpoints of AB are A(1, 2) and B(7, 8). Find the midpoint The midpoint of WV is M(-1, -2). One endpoint is W(4, 4), find point V

  6. Chapter 1-3 (Midpoint and Distance) Distance Formula Example The distance between two points What is the approximate length of RS with endpoints R(3, 1) and S(-1, -5)?

  7. Chapter 1-3 (Midpoint and Distance) Example

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