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Aim: What are Perpendicular Lines? What are bisectors?

Aim: What are Perpendicular Lines? What are bisectors?. Do Now:. List as many angle pairs that are supplementary as possible. AB | | CD. E. 1. 2. A. B. 3. 4. 5. 6. 7. 8. D. C. F. l. p. l  p. l. p. 90 o. 90 o. 90 o. 90 o.

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Aim: What are Perpendicular Lines? What are bisectors?

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  1. Aim: What are Perpendicular Lines? What are bisectors? Do Now: List as many angle pairs that are supplementary as possible. AB | | CD E 1 2 A B 3 4 5 6 7 8 D C F

  2. l p l  p l p 90o 90o 90o 90o Two lines that intersect to form four right angles are perpendicular lines. P e r p e n d i c u l a r L nes

  3. AE  EB l  AB l E A B Perpendicular bisector P e r p e n d i c u l a r L nes 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 does a line segment have? 1

  4. B C A O What would you call OC? Bisectors What type of angle is BOA? 900 - right angle If mBOC  mCOA, what are the measures of the angles? 450 each Angle bisector

  5. Model Problem D A B 3 2 1 O C If m3 = 28, find m 1.

  6. Model Problem D B E A C If mBAC = 160, find m DAE.

  7. 3x + 12 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 A B mDAB is 900 since AD is perpendicular to AB mCAB is 450 since AC bisects DAB mCAB = 3x + 12 = 45; x = 11

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