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isaiahh223gLv4
3 May 2022
Given: ABC is bisected by ray BD.
m ABD = 8(x+4), and m DBC = 64
Prove: x = 4
Statement: Reason:
1. BD bisects ABC 1. Given
2. m ABD = m DBC 2. Definition of Bisector
3. m ABD = 8 (x+4) 3. Given
4. m DBC = 64 4. Given
5. 8 (x+4) = 64 5. Substitution
7. 8x+32 = 64 7.Distributive Property
8. 8x = 32 8. [?]
9. x = 4 9.
Select the reason that best supports Statement 8 in the given proof.
A. Subtraction Property of Equality
B. Addition Property of Equality
C. Multiplication Property of Equality
D. Division Property of Equality
Given: ABC is bisected by ray BD.
m ABD = 8(x+4), and m DBC = 64
Prove: x = 4
Statement: Reason:
1. BD bisects ABC 1. Given
2. m ABD = m DBC 2. Definition of Bisector
3. m ABD = 8 (x+4) 3. Given
4. m DBC = 64 4. Given
5. 8 (x+4) = 64 5. Substitution
7. 8x+32 = 64 7.Distributive Property
8. 8x = 32 8. [?]
9. x = 4 9.
Select the reason that best supports Statement 8 in the given proof.
A. Subtraction Property of Equality
B. Addition Property of Equality
C. Multiplication Property of Equality
D. Division Property of Equality
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