AnSWErS to tHE StudEnt'S Book ExErCiSES - Hodder Plus Home

)c)d)y420 2 4 6 8Trapeziumy420 2 4 6 8Parallelogramy420 24 6 8xxxKite4 All the angles are 90° and the diagonals areequal length.5 Isosceles trapezium, parallelogram or rhombus70°110°110°70°Isosceles trapezium70°110°110°Parallelogram70°110°110°Rhombus70°70°Exercise 26.6 (page 348)1 2340° 2 3240°3 a) 131° b) 86°, 130°, 95°, 49°4 a) 58°b) 90°, 100°, 123°, 105°, 122°5 e 5 30°; i 5 150°6 e 5 3.6°; i 5 176.4°7 15 8 20Mixed exercise 26 (page 349)1 a) 9 cm 2 b) 8 cm 2 c) 30 cm 22 a) 28 cm 2 b) 300 cm 2 c) 27 cm 23 a) a 5 110° Corresponding angles.b 5 70° Allied angles or Angles on astraight line.b) c 5 50° Alternate angles.d 5 50° Corresponding angles orOpposite angles.c) e 5 36° Alternate angles.f 5 72° Angles on a straight line.g 5 72° Corresponding angles or anglesin a triangle.4 a) a 5 19° Angles in a triangle add up to180°.b) b 5 47° Base angles in an isoscelestriangle are equal.c) c 5 31° Exterior angle of a triangle isequal to the sum of the opposite,interior angles.d 5 77° Angles on a straight line add upto 180° or Angles in a triangleadd up to 180°.5 a) a 5 126° Angles in a quadrilateral add upto 360°.b) b 5 129° Angles on a straight line add upto 180°.c 5 53° Angles in a quadrilateral add upto 360°.6 a) Rectangle, parallelogram, kite, arrowheadb) Rhombus, isosceles trapezium, parallelogramc) Square, rectangle, isosceles trapezium7 a) 900°b) Exterior angle 5 24°, interior angle 5 156°c) 36Chapter 27Exercise 27.1 (page 352)1 12 cm 2 2 85 cm 23 50 cm 2 4 28 cm 2Exercise 27.2 (page 354)1 a) 13 cm b) 5.83 m c) 6.24 cmd) 24 cm e) 7.64 cm f) 6.34 cmg) 30.50 m h) 9.35 m i) 8.30 cm2 4.53 m3 23.66 inchesExercise 27.3 (page 357)1 Yes 6 2 1 8 2 5 10 2 (This is 2 3 the 3, 4, 5 triangle)2 No 4 2 1 7 2 ? 8 23 No 8 2 1 8 2 ? 11 24 Yes 7.5 2 1 18 2 5 19.5 2 (This is 1.5 3 the 5, 12,13 triangle)5 Yes 3.5 2 1 12 2 5 12.5 2 (This is 0.5 3 the 7, 24,25 triangle)6 No 5 2 1 10 2 ? 11 27 No 4.5 2 1 9 2 ? 10 28 Yes 28.8 2 1 12 2 5 31.2 2 (This is 2.4 3 the 5, 12,13 triangle)Exercise 27.4 (page 360)1 a) (6.5, 3) b) (3, 5)c) (21.5, 6) d) (24.5, 0)e) (20.5, 25) f) (5.5, 24.5)2 a) (1, 6) b) (4, 4)c) (5, 4.5) d) (5.5, 4.5)e) (1, 2) f) (25, 27)220Answers to the Student’s Book exercisesHigher WJEC GCSE Mathematics © 2010, Hodder Education