BG PW Answers _3.pdf

3-1 NAME ______________________________________DATE __________PERIOD______
Practice
Angles
Name each angle in four ways. Then identify its
vertex and its sides.
1. 2. 3.
LMN, NML, M, OPQ, QPO, P, RST, TSR, S
and 7 and 8 and 9
Name all angles having Q as their vertex.
4. 5. 6.
1, 2, and UQW 3, 4, XQZ 5, 6, 7, AQC,
BQD, and AQD
Tell whether each point is in the interior, exterior
or on the angle.
7. 8. 9.
interior exterior on
10. 11. 12.
interior on exterior
Tell whether each statement is true or false.
13. The vertex is in the exterior of the angle. false
14. ABC, CBA, and B are all the same angle. true
15. Three rays are necessary to determine an angle. false
Student Edition
Pages 90–94
© Glencoe/McGraw-Hill T12 Geometry: Concepts and Applications

3-2 Angle Measure
Use a protractor to find the measure of each angle.
Then classify each angle as acute, obtuse, or right.
1. JHI 40; acute
2. KHI 90; right
3. MHI 130; obtuse
4. LHI 110; obtuse
5. LHM 20; acute
6. LHK 20; acute
7. MHJ 90; right
8. MHK 40; acute
9. KHJ 50; acute
10. LHJ 70; acute
NAME ______________________________________DATE __________PERIOD______
Practice
Use a protractor to draw an angle having each measurement.
Then classify each angle as acute, obtuse, or right. See student’s work.
11. 32° acute 12, 178° obtuse
13. 105° obtuse 14. 92° obtuse
15. 80° acute 16. 15° acute
17. 29° acute 18. 150° obtuse
19. 163° obtuse 20. 120° obtuse
Student Edition
Pages 96–101
© Glencoe/McGraw-Hill T13 Geometry: Concepts and Applications

3-3 NAME ______________________________________DATE __________PERIOD______
Practice
The Angle Addition Postulate
Refer to the figure at the right.
1. If mBFC 35 and mAFC 78
find m1. 43
2. If mBFC 20 and mCFD 37
find mBFD. 57
3. If mBFD 60 and FC bisects BFD, find CFD.
30
4. If mAFB 70 and mBFC 15, find mAFC.
85
5. If mDFE 18 and mCFE 45, find CFD.
27
Refer to the figure at the right.
6. If m3 45 and mJLI 20,
find mILK. 65
7. If mGLJ 90, mGLH 30, and
mHLI 30, find mILJ. 30
8. If mHLJ 70 and mGLJ 90, find mGLH. 20
9. If m3 40 and mJLH 60, find mKLH. 100
10. If mGLI 62 and mGLH 40, find mHLI. 22
11. If a right angle is bisected, what type of angles
are formed? acute
12. What type of angles are formed if a 40° angle
is bisected? acute
13. If m1 30, m2 3x, mABC 145, and
m3 5x 5, find x. 15
Student Edition
Pages 104–109
© Glencoe/McGraw-Hill T14 Geometry: Concepts and Applications

3-4 Adjacent Angles and Linear Pairs of Angles
Use the terms adjacent angles, linear pair, or neither
to describe angles 1 and 2 in as many ways as possible.
1. 2. 3.
neither
NAME ______________________________________DATE __________PERIOD______
Practice
adjacent angles; neither
linear pair
4. 5. 6.
neither adjacent
In the figure at the right GB and GF are opposite
rays and GA and GD are opposite rays.
7. Which angle forms a linear pair with AGC?
CGD
8. Do FGE and EGC form a linear pair? Justify your answer.
No; they do not contain sides that are opposite rays.
9. Name two angles that are adjacent angles.
Sample answer: DGE and EGF
10. Name three angles that are adjacent to EGD.
Sample answer: DGC, DGB, EGA
11. Which angle forms a linear pair with BGC?
CGF
12. Name two adjacent angles that form a linear pair.
Sample answer: AGB and AGF
Student Edition
Pages 110–114
adjacent
angles;
linear pair
© Glencoe/McGraw-Hill T15 Geometry: Concepts and Applications

3-5 NAME ______________________________________DATE __________PERIOD______
Practice
Complementary and Supplementary Angles
Refer to the figures at the right.
1. Name an angle supplementary
to CBD. DBE
2. Name a pair of adjacent
supplementary angles.
Sample answer: CBA, ABE
3. Name an angle complementary
to CBF. FBG
4. Name two angles that are complementary.
Sample answer: XQZ, ZQS
5. Find the measure of an angle that is
supplementary to XQZ. 140
6. Find the measure of the complement
of VQY. 50
7. Name two angles that are supplementary.
Sample answer ZQX, XQV
8. Name an angle complementary to MON. MOL
9. Name an angle supplementary to POQ. POL
10. Find the measure of NOP. 70
Exercises 1–3
Exercises 4–7
Student Edition
Pages 116–121
Exercises 8–10
© Glencoe/McGraw-Hill T16 Geometry: Concepts and Applications

3-6 Congruent Angles
Find the value of x in each figure.
1. 2. 3.
55 110 47
4. 5. 6.
52
NAME ______________________________________DATE __________PERIOD______
Practice
43 25
7. What is the measure of an angle that is
supplementary to HIJ if HIJ KLM? 126
8. If 2 is complementary to 3, 1 is
complementary to 2, and m1 35,
what are m2 and m3? 55, 35
9. What is the value of x if PQR and SQT
are vertical angles and mPQR 47 and
mSQT 3x 2? 15
10. Find the measure of an angle that is supplementary
to B if the measure of B is 58. 122
Student Edition
Pages 122–127
© Glencoe/McGraw-Hill T17 Geometry: Concepts and Applications

3-7 Perpendicular Lines
AG ⊥ CE,AC
⊥ BF and point B is the midpoint of AC.
Determine whether the following is true or false.
1. 1 CBD true
2. 1 is a right angle. true
3. 2 and 3 are complementary
angles. false
4. mGDF mFDE 90 true
5. 1 5 true
6. AC is the only line perpendicular
to BF at B. true
7. 3 is an acute angle. false
8. 1 2 false
9. 2 6 true
Practice
10. AG is perpendicular to DE . true
11. Name four right angles. Sample answer: 1, 5, CBD, EDG
12. Name a pair of supplementary angles. Sample answer: 2 and 3
13. If m3 120, find m2. 60
14. Which angle is complementary to FDE? GDF
15. If m6 45, find m2. 45
NAME ______________________________________DATE __________PERIOD______
Student Edition
Pages 128–133
© Glencoe/McGraw-Hill T18 Geometry: Concepts and Applications