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Answer Key
Lesson 2.1
Study Guide
1.
2. Each number is 4 more than the previous number; 17
3. Each number is 3 times the previous number; 243
4. The product of any two even integers is even.
5. The product of an even integer and an odd integer is even.
6. 2 2 5 5 23, which is not positive
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Answer Key
Lesson 2.2
Study Guide
1. If-then: If the measure of an angle is 1808, then the angle is a straight angle. True.
Converse: If an angle is a straight angle, then the measure of the angle is 1808. True. Inverse: If the measure of an angle is not 1808, then the angle is not a straight angle. True. Contrapositive: If an angle is not a
straight angle, then the measure of the angle is not 1808. True.
2. If-then: If an animal is a cat, then it is a mammal. True. Converse: If an animal is a mammal, then it is
a cat. False. There are mammals that are not cats. Inverse: If an animal is not a cat, then it is not a mammal.
False. There are mammals that are not cats. Contrapositive: If an animal is not a mammal, then it is not a
cat. True.
3. True; Both angles are right angles, so the sum of their measures is 1808.
4. False; The two lines do not intersect.
5. Two angles are complementary angles if and only if the sum of their measures is 908.
6. A polygon is equilateral if and only if all of its sides are congruent.
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Answer Key
Lesson 2.3
Study Guide
1. 08 < m∠ B < 908
2. DE 1 EF 5 DF
3. If you study hard, you will graduate.
4. If x > 4, then x 2 > 8.
5. The sum of two odd integers is an even integer.
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Answer Key
Lesson 2.4
Study Guide
1. Postulate 5
2. Postulate 9
3.
4. true
5. false
6. false
7. true
8. true
9. false
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Answer Key
Lesson 2.5
Study Guide
1. 2
2. 26
3. Symmetric Property of Equality
4. Transitive Property of Equality
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Answer Key
Lesson 2.6
Study Guide
}
}
} }
1. AD 5 12, AB 5 12 (Given); AD > AB
(Definition of congruent segments); BC > CD,
} }
} }
AD > CD (Given); BC > BA(Transitive Property of Segment Congruence)
2. Reflexive Property of Angle Congruence
3. Symmetric Property of Segment Congruence
4. Reflexive Property of Segment Congruence
5. Transitive Property of Angle Congruence
} } } }
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} }
congruent segments); AB 5 CD (Transitive Property of Equality); AB > CD
(Definition of congruent segments)
Answer Key
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Answer Key
Lesson 2.7
Study Guide
1. 908 2. 908 3. 318 4. 1258 5. 528 6. 648
7. 908 8. 147 9. 44
Answer Key
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