Standardized Test Practice
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What is the operation used in that step of the proof?
Subtraction Property of Equality
We are given a two-column proof and asked to give a justification to move between the following two statements.
Let's begin by looking at the first piece of the given information.
m∠ A+46&=90
m∠ A+46-46&=90-46
Given:& ∠ A is the complement of∠ B & m∠ B=46 Prove:& m∠ A=44 Proof:
Statements
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Reasons
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1. ∠ A is the complement of ∠ B m∠ B=46 |
1. Given
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2. m∠ A+m∠ B=90
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2. Definition of complementary angles
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3. m∠ A+46=90
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3. Substitution Property of Equality
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4. m∠ A+46-46=90-46
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4. Subtraction Property of Equality
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5. m∠ A=44
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5. Substitution Property of Equality
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