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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) A B C D bisects

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**Ray BD bisects angle ABC. Find**

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

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

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**Example 3 bisects and and Find L P**

Is angle LMN acute, right, obtuse, or straight? Obtuse M N

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**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

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**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

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**Example: Several Angles**

In the kite, is bisected by and is bisected by Find and B A C D

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**Example: Several Angles**

In the kite, is bisected by and is bisected by Find and B A C D

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**Let’s 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 – 65 14 – 23

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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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**Example: Bisectors and Algebra**

bisects Find the value of x. A D C B

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Assignment B Pages 65 – 66 24 – 30, 32

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Bellringer! Solve the following equations 1.P – 1 = 5P + 3P – 8 2.-8 = -(y + 4) 3.(2 + 6 x 2 + 2 – 4) x 2 = ? 4.(5 + 16) ÷ 7 – 2 = ?

Bellringer! Solve the following equations 1.P – 1 = 5P + 3P – 8 2.-8 = -(y + 4) 3.(2 + 6 x 2 + 2 – 4) x 2 = ? 4.(5 + 16) ÷ 7 – 2 = ?

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