Maths Module 4 - The Curriculum Project

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1.5 Congruence Maths Module 4 : Geometry and Trigonometry, Teacher’s Guide - page 6
Practice - Answers i. a) No. Only the angles are equal. The corresponding sides may not be equal. b) Yes. PQRS = TUVW. Corresponding sides and angles are equal. c) Yes. XYZ = NLM. ii. a) ABC, YZX b) ABC, EFD c) XYZ, QRP iii. AB = CD, AD = BC and BD = BD. The triangles are congruent since all sides are the same. iv. BC = BD - CD, DE = CE - CD. But BD = CE, so BC = DE. CA = AD (given) Angle BCA = 180 o - Angle ACD Angle ADE = 180 o - Angle ADC But, Angle ACD = Angle ADC, so Angle BCA = Angle ADE If BC = DE and Angle BCA = Angle ADE then the triangles ABC, ADE are congruent. Maths Module 4 : Geometry and Trigonometry, Teacher’s Guide - page 7
Page 1 and 2: Maths Module 4: Geometry Teacher’
Page 3 and 4: Practice - Answers i. a) a = 48 o b
Page 5: 1.4 Interior Angles Practice - Answ
Page 9 and 10: Practice - Answers i. a) 4 b) 2.34
Page 11 and 12: 2. Constructions 2.1 Constructing a
Page 13 and 14: 2.3 Bisecting an angle Maths Module
Page 15 and 16: 3. Measure and Mensuration 3.1 Intr
Page 17 and 18: Practice - Answers i. a) 52.5 cm 2
Page 19 and 20: 3.4 Volume and area of 3-D shapes M
Page 21 and 22: 3.5 Finding the length of an arc of
Page 23 and 24: Practice - Answers i. a) 22.34 cm 2
Page 25 and 26: 3.7 Finding volumes and surface are
Page 27 and 28: Practice - Answers i. 960 cm 3 ii.
Page 29 and 30: 4.2 Reflection Practice - Answers i
Page 31 and 32: 4.4 Combined transformations Practi
Page 33 and 34: Practice - Answers i. Students shou
Page 35 and 36: Practice - Answers i. a) cosine b)
Page 37 and 38: Glossary of Keywords The glossary i
Page 39 and 40: Part 2 - Answers The total mark for

Maths Module 4 - The Curriculum Project

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