4. Proving Angle Relationships
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Use the Reflexive Property of Equality.
Statements
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Reasons
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1. ∠1
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1. Given
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2. m ∠1 = m∠1
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2. Reflexive Property of Equality
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3. ∠1 ≅ ∠1
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3. Definition of Congruent Angles
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Let's begin by remembering that the Reflexive Property of Congruence states that any angle is congruent to itself. Hence, we need to start with an arbitrary angle ∠1 and prove that ∠1 ≅ ∠1.
Statements
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Reasons
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1. ∠1
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1. Given
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2. m ∠1 = m∠1
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2. Reflexive Property of Equality
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3. ∠1 ≅ ∠1
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3. Definition of Congruent Angles
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