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ANGLE BISECTORS

ANGLE BISECTORS. (Chapter 2.2). VOCABULARY. Angle Bisector: a ray that divides an angle into two congruent angles. D. A. 110. B. C. BD bisects ABC, and m ABC = 110. Therefore, the m ABD and m BDC is half of m ABC. 110. m. ABD and m. BDC. =. 55. is 55. 2.

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ANGLE BISECTORS

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  1. ANGLE BISECTORS (Chapter 2.2)

  2. VOCABULARY • Angle Bisector: a ray that divides an angle into two congruent angles

  3. D A 110 B C BD bisects ABC, and m ABC = 110. Therefore, the m ABD and m BDC is half of m ABC. 110 m ABD and m BDC = 55 is 55. 2

  4. EXAMPLE #1 m GHJ = 52 HK is the angle bisector. JHK = 26 & m m GHK = 26

  5. EXAMPLE #2 m GHJ = 90 HK is the angle bisector. JHK = 45 & m m GHK = 45

  6. EXAMPLE #3 m GHJ = 161 HK is the angle bisector. JHK = 80.5 & m m GHK = 80.5

  7. Finding Angle Measures and Classifying Angles

  8. 46 m LMP 46 m NMP 92 m LMN obtuse MP bisects LMN

  9. 29 m RQS 29 m PQS 58 m PQR acute QS bisects PQR

  10. 45 m RQS 45 m PQS 90 m PQR right QS bisects PQR

  11. 60 m RQS 60 m PQS 120 m PQR obtuse QS bisects PQR

  12. RQ bisects PRS. Find the value of x. 6x = 84 6x + 1 = 85 -1 -1 6 6 6x = 84 x = 14

  13. 9x = 8x + 3 x + 12 = 55 -8x -8x -12 -12 x = 3 x = 43

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