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Proving That Alternate Interior Angles Are Congruent Read Explain 1 Explain2 and complete Your Turn...

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Proving That Alternate Interior Angles Are Congruent Read Explain 1 Explain2 and complete Your Turn 1 adapted from Lesson 4 2 Show all your work EXPLAIN 1 Alternate Interior Angles Theorem If two parallel lines are cut by a transversal then the pairs of alternate interior angles have the same measure Example 23 45 Given p q line p parallel to line q Prove m23 m25 Two Column Proof of the Alternate Interior Angles Theorem Statements Example Complete the proof by writing the missing reasons Choose from the following reasons You may use a reason more than once Refer to the reason bank below 1 pllq 2 23 and 26 are supplementary 3 m23 m26 180 4 25 and 26 are a linear pair 5 25 and 26 are supplementary 6 m25 m26 180 7 m23 m26 m25 m26 8 m43 m25 Reason Bank Substitution Property of Equality Reasons Same Side Interior Angles Postulate 1 2 3 4 5 6 7 8 Linear Pair Theorem P Definition of Supplementary Angles 9 1 4 3 5 6 At 8 7 Subtraction Property of Equality Given P 9

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