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Published bySavannah Manning Modified over 4 years ago

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CONGRUENT ANGLES & BISECTOR OF AN ANGLE

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Definition of Congruent Angles Two angles are said to be congruent if and only if they have the same measure. There is a phrase if & only ifwhich means that the definition is two way. 1) If the angles are congruent, then they are equal. 2) If the angles are equal, then they are congruent.

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ILLUSTRATION: In the figure, If A = 55 ° and B = 55 °, then A B If A B, then m A =m B A 55° 55° B

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Definition of Bisector of an Angle The bisector of an angle is a ray that divides an angle into two congruent angles. ILLUSTRATION: In the figure, if ray BF A F Is an angle bisector, then It divides ABC into two B C equal parts. And ABF CBF. NOTE: LIKE MARKINGS INDICATES EQUAL PARTS

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Angle Addition Postulate If F is in the interior of ABC, then m ABF +m FBC= m ABC. Then ray BF is called angle bisector of the angle. A F B C NOTE: LIKE MARKINGS INDICATES EQUAL PARTS

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Goal 1. To be able to use bisectors to find angle measures and segment lengths.

Goal 1. To be able to use bisectors to find angle measures and segment lengths.

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