Lesson 4   division of a line segment
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Lesson 4 division of a line segment

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Lesson 4   division of a line segment Lesson 4 division of a line segment Presentation Transcript

  • DIVISION OF A LINE SEGMENT Prepared by: Prof. Teresita P. Liwanag – ZapantaB.S.C.E., M.S.C.M., M.Ed. (Math-units), PhD-TM (on-going)
  • DIVISION OF A LINE SEGMENT  POINT OF DIVISION –  is  a  point  that divides a line segment to a given ratio.
  • By Similar Triangles: x – x1 = rx2 – rx rx + x = x1 + rx2 x( 1 + r ) = x1 + rx2Solving for x        solving for y
  • Examples:2.The  line  segment  joining  (-5,  -3)  and  (3,  4)  is  to  be  divided into five equal parts. Find the point of division closest to      (-5, -3).3.Find the midpoint of the segment joining (7, -2) and  (-3, 5).4.The line segment from (1, 4) to (2, 1) is extended a distance equal to twice its length. Find terminal point.5.On  the  line  joining  (4,  -5)  to  (-4,  -2),  find  the  point  which  is three-seventh the distance from the first to the second point. 6.Find the trisection points of the line joining (-6, 2) and (3, 8). 7.The midpoints  of the sides  of a triangle are A(3, 0), B(5, 2), C(2, 2).8.Three  consecutive  vertices  of  a  parallelogram  are  A(6,  1),   B(-2, 3), C(-6, 0). Find the coordinates of the fourth vertex.