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Segments and Angles. 2.2 Angle Bisectors. 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.
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Segments and Angles 2.2 Angle Bisectors
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?
A bisects B D C 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)
Example 1 • Ray BD bisects angle ABC. • Find A D B C
Example 2 • Ray HK bisects angle GHJ.Find J J K K H G H G
Example 3 and bisects and Find L P Is angle LMN acute, right, obtuse, or straight? Obtuse M N
Is angle PQR acute, right, obtuse, or straight? Example 4 bisects and Find S P P R S P S Q R R Q Q
Is angle PQR acute, right, obtuse, or straight? Example 4 bisects and Find S P P R S P S Acute Q R R Q Q Obtuse Right
Example: Several Angles • In the kite, is bisected by is bisected by and Find and B A C D
Example: Several Angles • In the kite, is bisected by is bisected by and Find and B A C D
Let’s Try This As a Class Page 63 Numbers 7 and 8 at the top of the page.
Assignment A Pages 64 – 65 14 – 23
Example: Bisectors and Algebra bisects Find the value of x. A D B C
Example: Bisectors and Algebra bisects Find the value of x. A D B C
Example: Bisectors and Algebra bisects Find the value of x. A D C B
Assignment B • Pages 65 – 66 • 24 – 30, 32