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Segments and Angles 2.2 Angle Bisectors

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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?

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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) bisects A B C D

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Example 1 Ray BD bisects angle ABC. Find AD B C

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

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Example 3 bisects and Find and LP M N Is angle LMN acute, right, obtuse, or straight? Obtuse

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

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

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

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

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Lets Try This As a Class Page 63 Numbers 7 and 8 at the top of the page.

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Assignment A Pages 64 – – 23

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Example: Bisectors and Algebra AD B C bisects Find the value of x.

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

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

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Assignment B Pages 65 – – 30, 32

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