3-3 Proving Lines Parallel Use the figure for Exercises 1–8. Tell whether lines m and n must be parallel from the given information. If they are, state your reasoning. (Hint: The angle measures may change for each exercise, and the figure is for reference only.) 1. 7 3 2. m 3 (15x 22)°, m 1 (19x 10) , x 8 Chapter Resource Book 3-37 LESSON 3.3 Practice C For use with pages 161–169 Is there enough information to prove that lines p and q are parallel? If so, state the postulate or theorem you would use. 1. 688 788 p q 2. p 3. p 1338 q 838 508 Find the value of x that makes m i n. 4. m n 1288 8x8 5.
3.3 Proving Lines Parallel ... Check The Solutions To The Practice Problems By Looking At The Answer Key At The End Of The Worksheet. If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Examples In the diagram at the left, ∠3 ≅q ∠6 and ∠4 ≅ ∠5. Proof Example 4, p. 134 Theorem 3.3 Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are ...
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