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Warm Up 08.25.11 Week 2 Circle the congruent segments and congruent angles: 2) 1)

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Homework 4) ( 1, 3 ) 5) ( 5, -7 ) 6) ( 3.5, 2 ) 17) ( -4, 3 ) 18) ( 1, 2 ) 19) ( 4, 6.5 ) 20) ( -5,.5 ) 21) ( -3, 3 ) 22) ( 4, -7 ) 23) ( -0.625, 3.5 ) 24) ( -3, 1.5 )

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Geometry 1.5 Day 2 I will bisect an angle and find the measure of an angle using algebra Segment Bisector A segment, line, ray, or plane that intersects a segment at the midpoint. Ex 1 AB M C D Bisector Midpoint

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Ex 2 Angle Bisector A ray that divides an angle in half and creates adjacent angles that are congruent A B C D CD Bisects ACB m ACD = m DCB

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Ex 3 Q R S P QR Bisects PQS m PQR = m PQS 55º Find missing Angles 55º = m PQS 2 2 (2) 110º = m PQS m PQR = m RQS 55º = m RQS

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Ex 4 S Q R P mPQR = 70º Find Angle Bisector QS bisects PQR 70º 2 = 35º

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Ex 5 O R Q P OQ Bisects POR Using Algebra m POQ = mQOR ( 2x+ 5 ) ( 5x – 46 ) 5x – 46 = 2x + 5 5x - 2x - 46 = 5 3x – 46 = 5 3x = 5 + 46 3x = 51 x = 17

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Using Algebra m POQ = 5x – 46 mQOR = 2x + 5 = 5( 17 ) – 46 = 85 – 46 = 39º m POQ = 2( 17 ) + 5 = 34 + 5 = 39º mQOR

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Review Assignment Textbook page 39, 34 – 54 all except # 43 What is an angle bisector? DO 1: O R Q P ( 7x - 8 ) ( 3x + 16 ) What is the m POQ? OQ Bisects POR

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1.5 Segment & Angle Bisectors p.34. Always Remember! If they are congruent, then set their measures equal to each other!

1.5 Segment & Angle Bisectors p.34. Always Remember! If they are congruent, then set their measures equal to each other!

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