QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
Directions: Complete each proof.
1. Given: $m \angle 4 +m \angle 7 = 180^{\circ}$
Prove: $c\|d$
| Statements | Reasons |
| :-- | :-- |
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2. Given: $m \angle 3 =m \angle 8$
Prove: $m \angle 3 +m \angle 6 = 180^{\circ}$
| Statements | Reasons |
| :-- | :-- |
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3. Given: $p \| q: \angle 1 \cong \angle 5$
Prove: $\angle 2 \cong \angle 5$
| Statements | Reasons |
| :-- | :-- |
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Answer
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Step 1
| $c || d$ | Converse of the Same Side Interior Angles Theorem |
Prove: $c || d$ | Statements | Reasons | | :-- | :-- |
Step 2
| $m angle 3 + m angle 9 = 180^{\circ}$ | Linear pair postulate |
Prove: $m angle 3 + m angle 6 = 180^{\circ}$ | Statements | Reasons | | :-- | :-- |
Final Answer
| $∠ 2 ≅ ∠ 1$ | Transitive property of congruence |
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