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Principles of Mathematics 11 Answer Key, Contents 263
Module 3: Answer Key
Section 1: Geometry
Lesson 1 Vocabulary of Circles 265
Lesson 2 Geometry of Circles and Chords 267
Lesson 3 Angles and Arcs of a Circle 273
Lesson 4 Properties of Tangents 281
Lesson 5 Exploring Polygons 287
Review 291
Section 2: Trigonometry
Lesson 1 The Trigonometric Ratios of Angles
0°≤ θ ≤ 360° 295
Lesson 2 Related Angles and Solving Trigonometric
Equations of Linear Form 301
Lesson 3 Solving Triangles 307
Lesson 4 The Ambiguous Case 313
Review 223
Section 3: Analytic Geometry I
Lesson 1 Circle 329
Lesson 2 Distance Between Points and Lines 337
Lesson 3 Systems of Linear Equations 345
Lesson 4 Solving Systems of Equations Algebraically 351
Lesson 5 Systems of Equations Containing
Three Variables 363
Section 4: Analytic Geometry II
Lesson 1 Applications of Systems 369
Lesson 2 Non-Linear Systems 375
Module 3
264 Answer Key, Contents Principles of Mathematics 11
Lesson 3 Graphing Linear Inequalities 389
Lesson 4 Quadratic, Rational, and Absolute Value
Inequalities in Two Variables 399
Lesson 5 Verifying and Proving Assertions in
Coordinate Geometry 415
Review 423
Module 3
Principles of Mathematics 11 Section 1, Answer Key, Lesson 1 265
Lesson 1
Answer Key
1. a)AC
b)∠∠∠∠∠AOE, EOD, DOC, AOD, COE
¼¼ ¼
c)ABC, AEC, or ADC
suur
d)AB
e)AB, AD, BE, AC, BD
» » ¼ » » » » » »
f)AB, AE, AD, DE, CD, BD, CE, BE, BC
g)∠∠∠∠∠∠∠EBD, ABD, BAD, ABE, DAC,CAB, ADB
¼¼¼¼¼¼¼¼¼
h)BCA, ABE, ABD, EBD, DAC, BAD, CBE, BCE, BEC
2. a) E E
D D
O
l l
G G
F F
E E
D D
O
l l
O
G G
F F
Module 3
266 Section 1, Answer Key, Lesson 1 Principles of Mathematics 11
b) E E
D D
O
l l
G G
F F
E E
D D
l l
G G
F F
c) Ð DOE, Ð EOG, Ð FOG, Ð DOF
d) Ð DEF, Ð DGF, Ð EDG, Ð EFG
e) B, C
f) i) the interior region bounded by chord DE and minor
arc DE
ii) the interior region bounded by chord FG and minor
arc FG
g) AB,AC
Module 3
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