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isaiahh223gLv4
3 May 2022
Given: 1 and B2 form a linear pair,
2 and 3 are complementary, and m 1 = 120
Prove: m 3=120
Statement: Reason:
1. 1 and 2 form a linear pair 1. Given
2. m 1+ m 2=180 2. [?]
3. 2 and 3 form a linear pair 3. Given
4. m 2+ m 3 = 180 4. Linear Pair Postulate
5. m 1+ m 2 = m 2+ m 3 5. Substitution
6. m 1 = m 3 6.
7. m 1 = 90 7. Given
8. 120= m 3 8. Substitution
9. m 3 = 120 9. Symmetric Property
Select the reason that best supports Statement 2 in the given proof.
A. Transitive Property of Equality
B. Subtraction Property of Equality
C. Linear Pair of Postulate
D. Division Property of Equality
Given: 1 and B2 form a linear pair,
2 and 3 are complementary, and m 1 = 120
Prove: m 3=120
Statement: Reason:
1. 1 and 2 form a linear pair 1. Given
2. m 1+ m 2=180 2. [?]
3. 2 and 3 form a linear pair 3. Given
4. m 2+ m 3 = 180 4. Linear Pair Postulate
5. m 1+ m 2 = m 2+ m 3 5. Substitution
6. m 1 = m 3 6.
7. m 1 = 90 7. Given
8. 120= m 3 8. Substitution
9. m 3 = 120 9. Symmetric Property
Select the reason that best supports Statement 2 in the given proof.
A. Transitive Property of Equality
B. Subtraction Property of Equality
C. Linear Pair of Postulate
D. Division Property of Equality
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