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Warm Up

Week 2. Warm Up. 08.25.11. Circle the congruent segments and congruent angles:. 2). 1). 17) ( -4, 3 ). 4) ( 1, 3 ). Homework. 18) ( 1, 2 ). 5) ( 5, -7 ). 19) ( 4, 6.5 ). 6) ( 3.5, 2 ). 20) ( -5, .5 ). 21) ( -3, 3 ). 22) ( 4 , -7 ).

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Warm Up

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

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

  3. A segment, line, ray, or plane that intersects a segment at the midpoint. Segment Bisector • Midpoint Ex 1 C • M A B • D Bisector

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

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

  6. Find Angle Bisector S • • R Ex 4 • Q P 70º m∡PQR = 70º = 35º 2 QS bisects ∡PQR

  7. O • Ex 5 ( 5x – 46 ) P Using Algebra ( 2x+ 5 ) • R Q OQ Bisects ∠ POR m∡POQ = m∡QOR 5x – 46 =2x + 5 • 5x - 2x- 46 = 5 3x – 46 = 5 3x = 5 + 46 3x = 51 x = 17

  8. Using Algebra x = 17 m∡POQ = 5x – 46 m∡QOR = 2x + 5 = 5( 17 ) – 46 =2( 17) + 5 = 85 – 46 =34 + 5 m∡POQ = 39º m∡QOR =39º

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

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