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U10L4 Congruent Chords and Arcs Notes
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Name: Topic: Main Ideas/Questions congruent CHORDS & ARCS H E 3. Find XY. 9x-34 e 5X-34 = I 5. Find x. ^ Directions: Find the indicated value. 1. Find x. 7x+ 24 =115 7x=91 X=13 5X: 35 X=1 B 4x+1 D xy= 4(7)+1 = 29 2(6x-20)=284 12x-40 = 284 12x = 324 X=27 Notes/Examples • Two chords are congruent if and only if: a) Their corresponding arcs are congruent. AB = CD → m AB = m CD b) They are equidistant from the center. EF = EG AB= CD • If a diameter or radius is perpendicular then it bisects the Chord EH LAB AF = FB 115 9x-34 76° Z S R V X (7x+24) 2. Find x. W D.. X (6x-20)* Date: T Class: 18X-2=52 18x=54 X=3 4. Find mRS. 11x-12=5 X+6 6x-72=6 6x=78 X=13 and its arc and mAH = m HB 5X-34 = 2x -4 3x -34= -4 3x = 30 X=10 to a chord, MP = 5(10) -34 = | 16 | J 52 MRS = 1 = 11(13)-72 = √71° 6. If MP = 5x - 34 and PN = 2x - 4, find MP. 18x-2 (11x-72)* K M (5r + 6) e Gina Wilson (All Things Algebra, LLC), 2015-2019 7. If DE 11x + 15 and FG = 32x-27, find DE. 32x-27=11x + 15 21x-27=15 21X=42 X=2 DE= 11(2) +15= 31 9. In circle Z, if RS= 18, and mTY= 42°, find each measure. ph Y G U MR = 2 (5) +9 = 19 Use the circle below for questions 13 and 14. L Y 4X-11=9 4x=20 X=5 11. If QM= 6x-11 and MR = 2x + 9, find MN. 6x-11=2X+9 Use the circle below for questions 15 and 16. W K TV = TU = WS= HK = 30 and PM = 8 H₂ mYU = mRS = E M q 18 9 42° 84° MN=38 13. Find VW. G VW=24 15. Find PH. 8. Find mMP. 9x-43 = 5x...
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Alternative transcript:
+33 4x-43=33 4x=76 X =19 x²+5²=13² x²+25=169 X²=144 X=12 PH=17 8²+15²=X² 289=x² 17 =X H (9x-43)* 2(1x-15)= 12X-8 14X-30= 12X-8 2x-30 = -8 2x = 22 X=11 m MN = 9(19) -43 = 128° 10. In circle I, if BG= 17, and mCHA = 256", find each measure. m²1 = 7(11)-15 = 62° 14. Find mYW. N cos y = 15/2323 12. If mCI = (7x-15) and mEF = (12x-8)", find mCI. D tan A M с m MP = 104° R BC= FB mAB = mBC= 52° mEC = 26⁰ myw = 67.4° (5x + 33)° 16. Find mGJ. 15 · y = 8 -1 y = tan -¹ (15) y=61.9 y = cos -¹ (513) y=67.4 = 123.9° 34 11 52° E mGJ = Ⓒ Gina Wilson (All Things Algebra, LLC), 2015-2019
U10L4 Congruent Chords and Arcs Notes
U10L4 Congruent Chords and Arcs Notes
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Name: Topic: Main Ideas/Questions congruent CHORDS & ARCS H E 3. Find XY. 9x-34 e 5X-34 = I 5. Find x. ^ Directions: Find the indicated value. 1. Find x. 7x+ 24 =115 7x=91 X=13 5X: 35 X=1 B 4x+1 D xy= 4(7)+1 = 29 2(6x-20)=284 12x-40 = 284 12x = 324 X=27 Notes/Examples • Two chords are congruent if and only if: a) Their corresponding arcs are congruent. AB = CD → m AB = m CD b) They are equidistant from the center. EF = EG AB= CD • If a diameter or radius is perpendicular then it bisects the Chord EH LAB AF = FB 115 9x-34 76° Z S R V X (7x+24) 2. Find x. W D.. X (6x-20)* Date: T Class: 18X-2=52 18x=54 X=3 4. Find mRS. 11x-12=5 X+6 6x-72=6 6x=78 X=13 and its arc and mAH = m HB 5X-34 = 2x -4 3x -34= -4 3x = 30 X=10 to a chord, MP = 5(10) -34 = | 16 | J 52 MRS = 1 = 11(13)-72 = √71° 6. If MP = 5x - 34 and PN = 2x - 4, find MP. 18x-2 (11x-72)* K M (5r + 6) e Gina Wilson (All Things Algebra, LLC), 2015-2019 7. If DE 11x + 15 and FG = 32x-27, find DE. 32x-27=11x + 15 21x-27=15 21X=42 X=2 DE= 11(2) +15= 31 9. In circle Z, if RS= 18, and mTY= 42°, find each measure. ph Y G U MR = 2 (5) +9 = 19 Use the circle below for questions 13 and 14. L Y 4X-11=9 4x=20 X=5 11. If QM= 6x-11 and MR = 2x + 9, find MN. 6x-11=2X+9 Use the circle below for questions 15 and 16. W K TV = TU = WS= HK = 30 and PM = 8 H₂ mYU = mRS = E M q 18 9 42° 84° MN=38 13. Find VW. G VW=24 15. Find PH. 8. Find mMP. 9x-43 = 5x...
Name: Topic: Main Ideas/Questions congruent CHORDS & ARCS H E 3. Find XY. 9x-34 e 5X-34 = I 5. Find x. ^ Directions: Find the indicated value. 1. Find x. 7x+ 24 =115 7x=91 X=13 5X: 35 X=1 B 4x+1 D xy= 4(7)+1 = 29 2(6x-20)=284 12x-40 = 284 12x = 324 X=27 Notes/Examples • Two chords are congruent if and only if: a) Their corresponding arcs are congruent. AB = CD → m AB = m CD b) They are equidistant from the center. EF = EG AB= CD • If a diameter or radius is perpendicular then it bisects the Chord EH LAB AF = FB 115 9x-34 76° Z S R V X (7x+24) 2. Find x. W D.. X (6x-20)* Date: T Class: 18X-2=52 18x=54 X=3 4. Find mRS. 11x-12=5 X+6 6x-72=6 6x=78 X=13 and its arc and mAH = m HB 5X-34 = 2x -4 3x -34= -4 3x = 30 X=10 to a chord, MP = 5(10) -34 = | 16 | J 52 MRS = 1 = 11(13)-72 = √71° 6. If MP = 5x - 34 and PN = 2x - 4, find MP. 18x-2 (11x-72)* K M (5r + 6) e Gina Wilson (All Things Algebra, LLC), 2015-2019 7. If DE 11x + 15 and FG = 32x-27, find DE. 32x-27=11x + 15 21x-27=15 21X=42 X=2 DE= 11(2) +15= 31 9. In circle Z, if RS= 18, and mTY= 42°, find each measure. ph Y G U MR = 2 (5) +9 = 19 Use the circle below for questions 13 and 14. L Y 4X-11=9 4x=20 X=5 11. If QM= 6x-11 and MR = 2x + 9, find MN. 6x-11=2X+9 Use the circle below for questions 15 and 16. W K TV = TU = WS= HK = 30 and PM = 8 H₂ mYU = mRS = E M q 18 9 42° 84° MN=38 13. Find VW. G VW=24 15. Find PH. 8. Find mMP. 9x-43 = 5x...
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SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
+33 4x-43=33 4x=76 X =19 x²+5²=13² x²+25=169 X²=144 X=12 PH=17 8²+15²=X² 289=x² 17 =X H (9x-43)* 2(1x-15)= 12X-8 14X-30= 12X-8 2x-30 = -8 2x = 22 X=11 m MN = 9(19) -43 = 128° 10. In circle I, if BG= 17, and mCHA = 256", find each measure. m²1 = 7(11)-15 = 62° 14. Find mYW. N cos y = 15/2323 12. If mCI = (7x-15) and mEF = (12x-8)", find mCI. D tan A M с m MP = 104° R BC= FB mAB = mBC= 52° mEC = 26⁰ myw = 67.4° (5x + 33)° 16. Find mGJ. 15 · y = 8 -1 y = tan -¹ (15) y=61.9 y = cos -¹ (513) y=67.4 = 123.9° 34 11 52° E mGJ = Ⓒ Gina Wilson (All Things Algebra, LLC), 2015-2019