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1.5 Angle Bisectors

1.5 Angle Bisectors. Angle Bisector. A ray that divides an angle into 2 congruent adjacent angles. BD is an angle bisector of <ABC. A. D. B. C. Ex1 : If FH bisects  EFG & m  EFG=80 o , what is m  EFH?. E. H. F. G.

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1.5 Angle Bisectors

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  1. 1.5 Angle Bisectors

  2. Angle Bisector • A ray that divides an angle into 2 congruent adjacent angles. BD is an angle bisector of <ABC. A D B C

  3. Ex1: If FH bisects EFG & mEFG=80o, what is mEFH? E H F G

  4. #2 you try: If FH bisects EFG & mEFG=130o, what is mEFH? H E F G

  5. EX #3!!: Find mCBD * If they are congruent, set them equal to each other, then solve! C A x+40o x+40 = 3x-20 40 = 2x-20 60 = 2x 30 = x 3x-20o D B 3x-20o = 3(30)-20 = 70o

  6. #4 you try!!: Find mABD * If they are congruent, set them equal to each other, then solve! C A x+40o x+40 = 3x-20 40 = 2x-20 60 = 2x 30 = x 3x-20o D B Since both angles are congruent, 70o +70o =140º 3x-20o = 3(30)-20 = 70o

  7. CONSTRUCTION OF AN ANGLE BISECTOR • http://www.mathopenref.com/constbisectangle.html

  8. ANGLE BISECTOR PRACTICE • USING A COMPASS & RULER, CONSTRUCT THE ANGLE BISECTOR FOR EACH PROBLEM ON THE WORKSHEET BEING PASSED OUT. • COMPARE ANSWERS WITH YOUR NEIGHBOR.

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