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Aim: What are Perpendicular Lines? What are bisectors? Do Now: AB | | CD E List as many angle pairs that are supplementary as possible. 1 A 2 3 B 4 5 6 7 C 8 D F Aim: Perpendicular Lines Course: Applied Geometry P e r p e n d L ines c u l a r Two lines that intersect to form four right angles are perpendicular lines. l p l p l 90o 90o 90o 90o Aim: Perpendicular Lines p Course: Applied Geometry P e r p e n d L ines c u l a r Perpendicular bisector l l AB A E B AE EB To bisect means to divide into two congruent parts. What is the another name for point E on line AB? Midpoint How many perpendicular bisectors Perpendicular Lines Course: Applied 1 Geometry doesAim: a line segment have? B C A O What type of angle is BOA? 900 - right angle If mBOC mCOA, what are the measures of the angles? 450 each What would you call OC? Angle bisector Aim: Perpendicular Lines Course: Applied Geometry Model Problem D A 3 2 B 1 O C OA OB, and OD OC If m3 = 28, find m 1. Aim: Perpendicular Lines Course: Applied Geometry Model Problem D B E A C AB AE , and AD AC If mBAC = 160, find m DAE. Aim: Perpendicular Lines Course: Applied Geometry If AD AB and AC is the angle bisector of DAB. Find the value of x if the measure of CAB is 3x + 12. C D 3x + 12 A B mDAB is 900 since AD is perpendicular to AB mCAB is 450 since AC bisects DAB mCAB = 3x + 12 = 45; x = 11 Aim: Perpendicular Lines Course: Applied Geometry Aim: Perpendicular Lines Course: Applied Geometry