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Midpoint of a Line Segment

Chapter 6 Coordinate Geometry. 6.2. Midpoint of a Line Segment. 6.2. 1. MATHPOWER TM 10, WESTERN EDITION. Finding the Midpoint of Vertical and Horizontal Lines. Determine the midpoint of the following line segment. 6. Note that adding the two end points of

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Midpoint of a Line Segment

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  1. Chapter 6 Coordinate Geometry 6.2 Midpoint of a Line Segment 6.2.1 MATHPOWERTM 10, WESTERN EDITION

  2. Finding the Midpoint of Vertical and Horizontal Lines Determine the midpoint of the following line segment. 6 Note that adding the two end points of the line segment, then dividing by 2, produces the same result: (1 + 11) ÷ 2 = 6 Horizontal Line Segments: To find the x-coordinate of the midpoint, divide the sum of the x-coordinates by 2. Find the midpoint AB and BC. A(1, 4) B(5, 4) Mx = 3 M(3, 4) Vertical Line Segments: To find the y-coordinate of the midpoint, divide the sum of the y-coordinates by 2. M(5, 1) C(5, -2) My = 1 6.2.2

  3. Finding the Midpoint of a Line Segment 8 units BC = A (4, 5) Midway is 4 units. This is an x-coordinate of 0. M(0, 1) Mx= 0 AC = 8 units C (4, -3) B (-4, -3) Midway is 4 units. This is a y-coordinate of 1. Therefore, the midpoint is (0, 1). My = 1 6.2.3

  4. The Midpoint Formula The midpoint (M) is the middle of a given line segment. The midpoint formula is 6.2.4

  5. Using the Formula to Find the Midpoint of a Line Segment Find the midpoint of the line segment with endpoints A(2, 8) and B(6, 12). (x1, y1) (x2, y2) M(AB) = (4, 10) 6.2.5

  6. Using the Midpoint Formula to Find the Endpoint Find the coordinates of B of the line segment AB. A is (2, 3) and the midpoint of AB is M(4, 7). The midpoint formula consists of two parts: 1. the x-coordinate of the midpoint 2. the y-coordinate of the midpoint Find the x-coordinate: Find the y-coordinate: x + 2 = 8 x = 6 y + 3 = 14 y = 11 B (6, 11) 6.2.6

  7. Assignment Suggested Questions: Pages 261 and 262 1, 3, 5, 10, 11, 13, 15, 19, 22, 25a, 35 6.2.7

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