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LESSON
1-4
Reading Strategies
Use a Graphic Organizer
The graphic organizer below outlines the different possibilities for a pair of angles.
adjacent—two angles in the same
plane with a common vertex and
a common side but no common
interior points
complementary—two
angles whose measures
have a sum of 90°
linear—adjacent
angles whose
noncommon sides
are opposite rays
Angle pairs
can be
vertical—two
nonadjacent
angles formed
by two intersecting lines
supplementary—two
angles whose measures
have a sum of 180°
Identify each pair of angles as complementary, supplementary, linear, vertical, or
adjacent. Use the graphic organizer above to help you. Keep in mind that there may be
more than one answer for each exercise.
1.
2.
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3.
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4.
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5.
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6.
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Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
1-34
Holt McDougal Geometry
Practice C
Problem Solving
1, 2, 3.
1. Sample answer: ∠ALB and ∠BLC
2. Sample answer: ∠AML and ∠YML
3. 45°; they are vertical angles.
4. 45°; the angles are supplementary.
4. The measures of the vertical angles are
equal.
5. Sample answer: ∠ABM, ∠MBK, and
∠KBC
5. If m∠X + m∠Y = 90° and m∠Z + m∠Y =
90°, then m∠X and m∠Z are both equal
to 90° − m∠Y. So m∠X = m∠Z. Two
angles whose measures are equal are
congruent.
6. C
7. G
8. A
Reading Strategies
1. complementary
6. Possible answer: ∠ADB and ∠ADC
2. vertical
3. supplementary
7.
4. linear or supplementary
5. adjacent
6. complementary
1-5 USING FORMULAS IN GEOMETRY
8. 60°
9. 45°
Practice A
10. 72°
Reteach
1. adjacent and form a linear pair
1. side lengths
2. P = 2A + 2w
3. area
4. A =
1
bh
2
2. only adjacent
3. not adjacent
5. 30 yd
6. 54 yd2
4. only adjacent
5. not adjacent
7. 24 cm
8. 24 cm2
6. adjacent and form a linear pair
9. diameter
7. Possible answers: ∠1 and ∠6, ∠2 and ∠5
11. twice
8. Possible answers: ∠1 and ∠2; ∠1 and
∠5; ∠5 and ∠6; ∠6 and ∠2
12.
9. ∠3
10. center
10. complementary
11. neither
12. 34°
13. 124°
14. 68°
15. 158°
13. A = πr 2
16. m∠LMN = 56°; m∠UVW = 34°
14. around
15. C = 2πr or C = πd
Challenge
1. 52°14′24″
2. 5°12′
Practice B
3. 27°37′30″
4. 64°48′
1. 12 ft
5. Sample answer: ∠KLM and ∠MLN
3. 2.4 ft or 2
6. Sample answer: ∠KLH and ∠MLN
2. 6 ft2
2
ft
5
7. 180 − (3x + 2)° or (178 − 3x)°
4. P = 9.6 m; A = 5.76 m2
8. Sample answer: ∠HCK and ∠RCQ
5. P = 2x + 20; A = 7x + 21
6. circumference
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
A5
Holt McDougal Geometry