3-1
NAME ______________________________________DATE __________PERIOD______
Practice
Student Edition Pages 90–94
Angles Name each angle in four ways. Then identify its vertex and its sides. 1.
2.
3.
Name all angles having Q as their vertex. 4.
5.
6.
Tell whether each point is in the interior, exterior or on the angle. 7.
8.
9.
10.
11.
12.
Tell whether each statement is true or false. 13. The vertex is in the exterior of the angle. 14. ⬔ABC, ⬔CBA, and ⬔B are all the same angle. 15. Three rays are necessary to determine an angle.
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Glencoe/McGraw-Hill
12
Geometry: Concepts and Applications
3-2
NAME ______________________________________DATE __________PERIOD______
Practice
Student Edition Pages 96–101
Angle Measure Use a protractor to find the measure of each angle. Then classify each angle as acute, obtuse, or right. 1. ⬔JHI 2. ⬔KHI 3. ⬔MHI 4. ⬔LHI 5. ⬔LHM 6. ⬔LHK 7. ⬔MHJ 8. ⬔MHK 9. ⬔KHJ 10. ⬔LHJ
Use a protractor to draw an angle having each measurement. Then classify each angle as acute, obtuse, or right. 11. 32°
12, 178°
13. 105°
14. 92°
15. 80°
16. 15°
17. 29°
18. 150°
19. 163°
20. 120°
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Glencoe/McGraw-Hill
13
Geometry: Concepts and Applications
3-3
NAME ______________________________________DATE __________PERIOD______
Practice
Student Edition Pages 104–109
The Angle Addition Postulate Refer to the figure at the right. 1. If m⬔BFC 35 and m⬔AFC 78 find m⬔1. 2. If m⬔BFC 20 and m⬔CFD 37 find m⬔BFD. bisects ⬔BFD, find ⬔CFD. 3. If m⬔BFD 60 and FC
4. If m⬔AFB 70 and m⬔BFC 15, find m⬔AFC.
5. If m⬔DFE 18 and m⬔CFE 45, find ⬔CFD.
Refer to the figure at the right. 6. If m⬔3 45 and m⬔JLI 20, find m⬔ILK. 7. If m⬔GLJ 90, m⬔GLH 30, and m⬔HLI 30, find m⬔ILJ. 8. If m⬔HLJ 70 and m⬔GLJ 90, find m⬔GLH. 9. If m⬔3 40 and m⬔JLH 60, find m⬔KLH. 10. If m⬔GLI 62 and m⬔GLH 40, find m⬔HLI. 11. If a right angle is bisected, what type of angles are formed? 12. What type of angles are formed if a 40° angle is bisected? 13. If m⬔1 30, m⬔2 3x, m⬔ABC 145, and m⬔3 5x 5, find x.
©
Glencoe/McGraw-Hill
14
Geometry: Concepts and Applications
3-4
NAME ______________________________________DATE __________PERIOD______
Practice
Student Edition Pages 110–114
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.
4.
5.
6.
and GF are opposite In the figure at the right GB and GD are opposite rays. rays and GA 7. Which angle forms a linear pair with ⬔AGC?
8. Do ⬔FGE and ⬔EGC form a linear pair? Justify your answer.
9. Name two angles that are adjacent angles.
10. Name three angles that are adjacent to ⬔EGD.
11. Which angle forms a linear pair with ⬔BGC?
12. Name two adjacent angles that form a linear pair.
©
Glencoe/McGraw-Hill
15
Geometry: Concepts and Applications
3-5
NAME ______________________________________DATE __________PERIOD______
Practice
Student Edition Pages 116–121
Complementary and Supplementary Angles Refer to the figures at the right. 1. Name an angle supplementary to ⬔CBD.
2. Name a pair of adjacent supplementary angles. Exercises 1–3 3. Name an angle complementary to ⬔CBF.
4. Name two angles that are complementary.
5. Find the measure of an angle that is supplementary to ⬔XQZ.
6. Find the measure of the complement of ⬔VQY. Exercises 4–7 7. Name two angles that are supplementary.
8. Name an angle complementary to ⬔MON.
9. Name an angle supplementary to ⬔POQ.
10. Find the measure of ⬔NOP. Exercises 8–10 ©
Glencoe/McGraw-Hill
16
Geometry: Concepts and Applications
3-6
NAME ______________________________________DATE __________PERIOD______
Practice
Student Edition Pages 122–127
Congruent Angles Find the value of x in each figure. 1.
2.
3.
4.
5.
6.
7. What is the measure of an angle that is supplementary to ⬔HIJ if ⬔HIJ ⬵ ⬔KLM?
8. If ⬔2 is complementary to ⬔3, ⬔1 is complementary to ⬔2, and m⬔1 35, what are m⬔2 and m⬔3?
9. What is the value of x if ⬔PQR and ⬔SQT are vertical angles and m⬔PQR 47 and m⬔SQT 3x 2?
10. Find the measure of an angle that is supplementary to ⬔B if the measure of ⬔B is 58.
©
Glencoe/McGraw-Hill
17
Geometry: Concepts and Applications
3-7
NAME ______________________________________DATE __________PERIOD______
Practice
Student Edition Pages 128–133
Perpendicular Lines CE , AC ⊥ BF and point B is the midpoint of AC . AG ⊥ Determine whether the following is true or false. 1. ⬔1 ⬵ ⬔CBD 2. ⬔1 is a right angle. 3. ⬔2 and ⬔3 are complementary angles. 4. m⬔GDF m⬔FDE 90 5. ⬔1 ⬵ ⬔5 is the only line perpendicular 6. AC at B. to BF 7. ⬔3 is an acute angle. 8. ⬔1 ⬵ ⬔2 9. ⬔2 ⬵ ⬔6 . is perpendicular to DE 10. AG 11. Name four right angles. 12. Name a pair of supplementary angles. 13. If m⬔3 120, find m⬔2. 14. Which angle is complementary to ⬔FDE? 15. If m⬔6 45, find m⬔2.
©
Glencoe/McGraw-Hill
18
Geometry: Concepts and Applications
