Teacher's Guide - Pearson

9c h a p t e rCoordinate geometrySyllabus: General objectiveThis chapter deals with the use of coordinates in a Cartesian plane.Specific objectives• y Calculate the distance between two points.• y Calculate the coordinates of the midpoint of a line segment given the coordinatesof its endpoints.• y Calculate the coordinates of the endpoint of a line segment given the coordinatesof the midpoint and one end point.• y Solve problems involving the applications of distance between two points andmidpoint of the two end points of a line segment.AnswersActivity 9.1 (Student’s Book page 158)1. A(1;2), B(6;8)4. C(6; 2)5. AC 5 6 2 1 5 5 units; BC 8 2 2 5 6 units6. AB 5 ​√ _______5 2 1 6 2 ​ 5 7.8 units7. AB 5 (x 22 x 1) 2 1 (y 22 y 1) 2√Exercise 9.1 (Student’s Book page 160)1. a) Distance 5 ​√ _____________________(1 2 9) 2 1 (24 2 14) 2 ​5 ​√ ______________(28) 2 1 (218) 2 ​5 √ 64 1 3245 19.7 unitsb) Distance 5 10 unitsc) Distance 5 5.7 unitsd) Distance 5 9.06 units2. a) AB 5 4 units; AC 5 ​√ ___29 ​ unitsBC 5 ​√ ___29 ​ units è Isosceles48EXPLORING MATHEMATICS FORM 3