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Teacher's Guide - Pearson

Teacher's Guide - Pearson

Teacher's Guide - Pearson

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1.Activity 9.3 (Student’s Book page 166)B(8;4)M(3;21)θA(22;26)135˚2. Inclination 5 tan θ 5 ________ 4 2 (26)​8 2 (22) ​ 5 1θ 5 45˚3. a) Strut supports at (3;21)b) 135˚ with the ‘positive x-axis’c) Girder mass 5 6 3 ​√ ____200 ​ 5 84.9 kgExercise 9.4 (Student’s Book page 166)1. Diameter 5 13 units; Radius 5 6.5 units2. a) AB 5 2.8 unitsb) M(1;4)c) AC 5 7.2 units; BC 5 7.2 units.So, ABC is isoceles.d) No, 7.2 2 7.2 2 1 2.8 2e) i) Perimeter 5 17.2 unitsii) MC 5 ​√ ___50 ​ 5 7.1 unitsiii) MC is an altitude sincem MC3 m AB5 21Area nABC 5 ​1__ ​ 3 AB 3 MC25 ​1__ ​ 3 2.8 3 7.125 9.9 units 23. a) M(0.5;6)b) P is halfway between A and M.So, P(22.75;4)4. AP 5 5.8 units, so A is not on the circle.BP 5 5 units, so B is on the circle.Chapter 9: Coordinate geometry51

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