UNIT 3 Parallel and Perpendicular Lines 3.3 1 a 2 4 3 5 b m n Which lines, if any, must be parallel if 3 and 2 are supplementary? Use the diagram above. Which lines, if any, must be parallel if 2 and 4 are supplementary?
UNIT 3 Parallel and Perpendicular Lines 3.3 Given: 3,8 are supplementary Prove: a ||c
UNIT 3 Parallel and Perpendicular Lines 3.3 W Given: 1≌2, 1≌3 Prove: XY||WV X 3 1 2 V Y
UNIT 3 Perpendicular Lines 3.4 Given: a||b,25 Prove: m||n 2. If m||n, find the measure of as many angles as possible 1 2 a b m n 5 3 4 C m n o 140° 30° 1 3. Name 4 ways to show two lines are parallel
UNIT 3 Perpendicular Lines 3.4 How to you calculate the distance from a point to a line? Name the shortest segment from point A to BC. Write and solve an inequality for x.
UNIT 3 Perpendicular Lines 3.4 If two lines intersect forming a linear pair of congruent angles, then the lines are perpendicular. If a transversal is perpendicular to one pair of parallel lines, then it is perpendicular to both lines. If two lines are perpendicular to the same line, Then the two lines are parallel.
UNIT 3 Parallel and Perpendicular Lines Homework 3.3(166):15,19-22,27-29,30,33-35,46-53 20.n||p,if AIA=,then lines || 22.a)if lines ||, corr = b)given c) trans d) if corr=,then lines || 24. Corr =, lines || 26. AIA =, lines || 28. AIA =, lines || 30. l||m AIA= 34. l||n AIA = 46. q||r, AEA= 46. ∠1=∠15 48. s||t,corr= 50.none 52. s||t,SSI=180 Given: l || m Prove: 2,5 are supplements Given: l || m and 4 2 Prove: n||p l m n p 1 2 4 3 3.4(175):13-23(odd),38