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3.3 notes
- 1. 3.3 Prove Lines are Parallel September 26, 2011 3.3 Prove Lines are Parallel Postulate 16: Corresponding Angles Converse If 2 lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel. 2 j j // k 6 k Example 1 Find the value of x that makes m // n. (3x + 5) m 65 n Guided Practice #1 with vertical partner HW pg. 165 #414 evens, 2931, 34 & 35 1
- 2. 3.3 Prove Lines are Parallel September 26, 2011 Theorem 3.4: Alternate Interior Angles Converse If 2 lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel. j // k j 5 4 k Theorem 3.5: Alternate Exterior Angles Converse If 2 lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel. j // k 1 j k 8 Theorem 3.6: Consecutive Interior Angles Converse If 2 lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel. j // k j 3 <3+<5=180 5 k HW pg. 165 #414 evens, 2931, 34 & 35 2
- 3. 3.3 Prove Lines are Parallel September 26, 2011 HW pg. 165 #414 evens, 2931, 34 & 35 3
- 4. 3.3 Prove Lines are Parallel September 26, 2011 HW pg. 165 #414 evens, 2931, 34 & 35 4
- 5. 3.3 Prove Lines are Parallel September 26, 2011 Paragraph Proof: written in paragraph form and in sentences explaining the logical flow of argument HW pg. 165 #414 evens, 2931, 34 & 35 5
- 6. 3.3 Prove Lines are Parallel September 26, 2011 Theorem 3.7: Transitive Property of Parallel Lines If 2 lines are parallel to the same line, then they are parallel to each other. HW pg. 165 #414 evens, 2931, 34 & 35 6
- 7. 3.3 Prove Lines are Parallel September 26, 2011 HW pg. 165 #414 evens 2931, 34 & 35 HW pg. 165 #414 evens, 2931, 34 & 35 7