1. Segments and Angles
2.2 Angle Bisectors

2. Activity On a sheet of paper, draw a segment and label it segment AB.
Draw another segment starting at B and ending at C (to make an angle).
Fold the paper so that segment AB is on top of segment BC.
Use a protractor to measure all the angles involved. What do you notice?

3. Vocabulary
Angle Bisector – a segment, ray, line, or plane that intersects an angle into two congruent angles.
Bisect – a verb meaning to divide in half (two congruent pieces) A B C D
bisects

4. Ray BD bisects angle ABC. Find
Example 1
Ray BD bisects angle ABC.
Find A D B C

5. Example 2
Ray HK bisects angle GHJ. Find J J K K H G H G

6. Example 3 bisects and and Find L P
Is angle LMN acute, right, obtuse, or straight?
Obtuse M N

7. Example 4 Is angle PQR acute, right, obtuse, or straight? bisects and
Find S P P R S P S Q Q R R Q

8. Example 4 Is angle PQR acute, right, obtuse, or straight? bisects and
Find S P P R S P S
Acute Q R Q R Q
Right
Obtuse

9. Example: Several Angles
In the kite,
is bisected by
and
is bisected by
Find
and B A C D

10. Example: Several Angles
In the kite,
is bisected by
and
is bisected by
Find
and B A C D

11. Let’s Try This As a Class
Page 63
Numbers 7 and 8 at the top of the page.

12. Assignment A
Pages 64 – 65
14 – 23

13. Example: Bisectors and Algebra
bisects
Find the value of x. A D B C

14. Example: Bisectors and Algebra
bisects
Find the value of x. A D B C

15. Example: Bisectors and Algebra
bisects
Find the value of x. A D C B

16. Assignment B
Pages 65 – 66
24 – 30, 32