Locus 1

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Locus 1

  1. 1. By the end of the lesson you will be able to: • Draw the perpendicular bisector of a segment   and bisectors of angles using ruler and compasses.• Understand, identify and draw   locus of points. 1
  2. 2.  Mark all the points that are at the same distance from A and B.   A B Mediatriz 2.ggb Conclusion: The set of all the points equidistant from the end points of a line segment is the perpendicular bisector of the segment. 2
  3. 3. How to draw the perpendicular bisector of a segment   A BThe locus of a point is the path traced out by the point as it moves . 3
  4. 4. The locus of a point is the path traced out by the point as it moves . The locus of points which are equidistant from two given points A and B is the perpendicular bisector of the segment AB A B A locus is a set of points which fit a condition. 4
  5. 5. Draw the locus of points which are closer to A than to B.   A B 5
  6. 6. Draw the locus of points which are at 3 cm from P =  Locus.ggbDraw all the points which are at 3 cm from P   •P   The locus of the points whose distance to a fixed point P is constant is the circumference of centre P. 6
  7. 7. Draw the locus of points that are 3 cm from line AB. A B 7
  8. 8. Locus of points that are 3 cm from line AB. A B  http://math.nie.edu.sg/bwjyeo/it/MathsOnline_EM/geosketch/jsps/IT4EMLoci1LineAns.html 8
  9. 9. Draw the locus of points which are 3 cm from AB A B 9
  10. 10. Draw the locus of points which are 3 cm from AB A B 10
  11. 11. Construct the bisector of the angle: http://www.mathopenref.com/constbisectangle.html 11
  12. 12. The points on the bisector of the angle are at the same distancefrom both arms of the angle.   The locus of all the points which are equidistant from the sides of an angle is the bisector of the angle 12
  13. 13. Draw the locus of points which are closer to side OP than to side OL. P O L 13
  14. 14. Draw the locus of the points Draw the locus of thewhich are 3 cm or less from points which are more thana point O. 3 cm from O. . O 14
  15. 15. Draw the perpendicular bisectors of all the sidesin the triangle   The perpendicular bisectors of the sides of a triangle meet at a point called the circumcentre. The circumcentre is at the same distance from each vertex. The circumcentre is the centre of a circunference that passes through the three vertices. 15
  16. 16. Draw all the bisectors of the angles of the triangle  The bisectors of the angles of a triangle meet at a point called the incentre.The incentre is at the same distance from each side of the triangle.The incentre is the centre of a circunference that touches the three sides of the triangle. 16
  17. 17. Attachments Locus.ppt Worksheet        LOCI.doc Circumscribed.ppt Perpendicular bisector.ggb Mediatriz 2.ggb Circumference Locus.ggb

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