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3.3 notes
1.
3.3 Prove Parallel Lines HW pg. 165 #414 even, 2931, 34, 35 September 26, 2014 Bellwork With your partner, stand in the center of the room according to the angle pair card you receive. Determine whether your angles are congruent or supplementary. One partner is to hold the angle pair card, and the other partner will hold the = card, (located on the front desk).
2.
3.3 Prove Parallel Lines HW pg. 165 #414 even, 2931, 34, 35 September 26, 2014 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. Example 1 Find the value of x that makes m // n. Guided Practice #1 with partners m n65 (3x + 5) 6 k 2 j j // k
3.
3.3 Prove Parallel Lines HW pg. 165 #414 even, 2931, 34, 35 September 26, 2014 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. 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. 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. k 45 jj // k j // k j // k j k 1 8 3 5 j k <3+<5=180
4.
3.3 Prove Parallel Lines HW pg. 165 #414 even, 2931, 34, 35 September 26, 2014
5.
3.3 Prove Parallel Lines HW pg. 165 #414 even, 2931, 34, 35 September 26, 2014
6.
3.3 Prove Parallel Lines HW pg. 165 #414 even, 2931, 34, 35 September 26, 2014 Paragraph Proof: written in paragraph form and in sentences explaining the logical flow of argument
7.
3.3 Prove Parallel Lines HW pg. 165 #414 even, 2931, 34, 35 September 26, 2014 Theorem 3.7: Transitive Property of Parallel Lines If 2 lines are parallel to the same line, then they are parallel to each other.
8.
3.3 Prove Parallel Lines HW pg. 165 #414 even, 2931, 34, 35 September 26, 2014 HW pg. 165 #414 evens 2931, 34 & 35
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