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Justification Using Properties of Equality and Congruence - mdk12

Justification Using Properties of Equality and Congruence - mdk12

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13.<br />

<strong>Justification</strong> <strong>Using</strong> <strong>Properties</strong> <strong>of</strong> <strong>Equality</strong> <strong>and</strong> <strong>Congruence</strong> (Continued)<br />

Given: m ∠ 1 = 40<br />

m ∠ 2 = 40<br />

m ∠ 1 + m ∠ 3 = 80<br />

m ∠ 4 + m ∠ 2 = 80<br />

Conclusion: m ∠ 3 = m ∠ 4<br />

Statement<br />

Reason<br />

1. m ∠ 1 + m ∠ 3 = 80 1.<br />

2. m ∠ 1 = 40 2.<br />

3. m ∠ 3 = 40 3.<br />

4. m ∠ 4 + m ∠ 2 = 80 4.<br />

5. m ∠ 2 = 40 5.<br />

6. m ∠ 4 = 40 6.<br />

7. m ∠ 3 = m ∠ 4 7.<br />

14.<br />

Given: m ∠ 1 + m ∠ 2 = 180<br />

m ∠ 2 + m ∠ 3 = 180<br />

Conclusion: m ∠ 1 = m ∠ 3<br />

Statement<br />

Reason<br />

1. m ∠ 1 + m ∠ 2 = 180 1.<br />

2. m ∠ 2 + m ∠ 3 = 180 2.<br />

3. m ∠ 1 + m ∠ 2 = m ∠ 2 + m ∠ 3 3.<br />

4. m ∠ 2 = m ∠ 2 4.<br />

5. m ∠ 1 = m ∠ 3 5.<br />

Lesson Plan: Different Methods <strong>of</strong> Pro<strong>of</strong><br />

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