1.5 Angle Bisectors Angle Bisector • A ray that divides an angle into 2 congruent adjacent angles. A D B C BD is an angle bisector of <ABC. Ex1: If FH bisects EFG & mEFG=80o, what is mEFH? E H F 80 40 o 2 m EFH 40 o G #2 you try: If FH bisects EFG & mEFG=130o, what is mEFH? H E F G 130 65 o 2 m EFH 65 EX #3!!: Find mCBD * If they are congruent, set them equal to each other, then solve! C A x+40 = 3x-20 D B 40 = 2x-20 60 = 2x 3x-20o = 3(30)-20 = 70o 30 = x #4 you try!!: Find mABD * If they are congruent, set them equal to each other, then solve! C A x+40 = 3x-20 D B 3x-20o = 3(30)-20 = Since both angles are congruent, 70o +70o 70o =140º 40 = 2x-20 60 = 2x 30 = x CONSTRUCTION OF AN ANGLE BISECTOR • http://www.mathopenref.com/constbisec tangle.html 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.