12-6 notes and answers reg geo.notebook -...
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![Page 1: 12-6 Notes and answers Reg Geo.notebook - PC\|MACimages.pcmac.org/.../12-6_Student_Notes_Reg_Geo.pdf · 2019-09-25 · 126 Notes and answers Reg Geo.notebook 3 December 09, 2015 Nov](https://reader033.vdocuments.site/reader033/viewer/2022053000/5f0477d17e708231d40e1e07/html5/thumbnails/1.jpg)
126 Notes and answers Reg Geo.notebook
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December 09, 2015
Nov 2812:03 PM
Find the lengths of segments formed by lines that intersect circles.
Use the lengths of segments in circles to solve problems.
Objectives
Nov 2812:03 PM
![Page 2: 12-6 Notes and answers Reg Geo.notebook - PC\|MACimages.pcmac.org/.../12-6_Student_Notes_Reg_Geo.pdf · 2019-09-25 · 126 Notes and answers Reg Geo.notebook 3 December 09, 2015 Nov](https://reader033.vdocuments.site/reader033/viewer/2022053000/5f0477d17e708231d40e1e07/html5/thumbnails/2.jpg)
126 Notes and answers Reg Geo.notebook
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December 09, 2015
Nov 2812:03 PM
Example 1: Applying the ChordChord Product Theorem
Find the value of x and the length of each chord.
10(7) = 14(x)70 = 14x5 = xEF = 10 + 7 = 17GH = 14 + 5 = 19
J
Nov 2812:03 PM
Check It Out! Example 1
Find the value of x and the length of each chord.
8(x) = 6(5)8x = 30x = 3.75
AB = 6 + 5 = 11CD = 3.75 + 8 = 11.75
![Page 3: 12-6 Notes and answers Reg Geo.notebook - PC\|MACimages.pcmac.org/.../12-6_Student_Notes_Reg_Geo.pdf · 2019-09-25 · 126 Notes and answers Reg Geo.notebook 3 December 09, 2015 Nov](https://reader033.vdocuments.site/reader033/viewer/2022053000/5f0477d17e708231d40e1e07/html5/thumbnails/3.jpg)
126 Notes and answers Reg Geo.notebook
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December 09, 2015
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A secant segment is a segment that contains a chord of a circle, and has exactly one endpoint outside the circle. An external secant segment is the part of a secant segment that is outside the circle.
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![Page 4: 12-6 Notes and answers Reg Geo.notebook - PC\|MACimages.pcmac.org/.../12-6_Student_Notes_Reg_Geo.pdf · 2019-09-25 · 126 Notes and answers Reg Geo.notebook 3 December 09, 2015 Nov](https://reader033.vdocuments.site/reader033/viewer/2022053000/5f0477d17e708231d40e1e07/html5/thumbnails/4.jpg)
126 Notes and answers Reg Geo.notebook
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December 09, 2015
Nov 2812:03 PM
Find the value of x and the length of each secant segment.
Example 3: Applying the SecantSecant Product Theorem
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Check It Out! Example 3
Find the value of z and the length of each secant segment.
351 = 169 + 13z182 = 13z14 = z
LG = 30 + 9 = 39JG = 14 + 13 = 27
![Page 5: 12-6 Notes and answers Reg Geo.notebook - PC\|MACimages.pcmac.org/.../12-6_Student_Notes_Reg_Geo.pdf · 2019-09-25 · 126 Notes and answers Reg Geo.notebook 3 December 09, 2015 Nov](https://reader033.vdocuments.site/reader033/viewer/2022053000/5f0477d17e708231d40e1e07/html5/thumbnails/5.jpg)
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December 09, 2015
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![Page 6: 12-6 Notes and answers Reg Geo.notebook - PC\|MACimages.pcmac.org/.../12-6_Student_Notes_Reg_Geo.pdf · 2019-09-25 · 126 Notes and answers Reg Geo.notebook 3 December 09, 2015 Nov](https://reader033.vdocuments.site/reader033/viewer/2022053000/5f0477d17e708231d40e1e07/html5/thumbnails/6.jpg)
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December 09, 2015
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Example 4: Applying the SecantTangent Product Theorem
Find the value of x.
Nov 2812:03 PM
Check It Out! Example 4
Find the value of y.
DE DF = DG2
7(7 + y) = 102
49 + 7y = 1007y = 51
![Page 7: 12-6 Notes and answers Reg Geo.notebook - PC\|MACimages.pcmac.org/.../12-6_Student_Notes_Reg_Geo.pdf · 2019-09-25 · 126 Notes and answers Reg Geo.notebook 3 December 09, 2015 Nov](https://reader033.vdocuments.site/reader033/viewer/2022053000/5f0477d17e708231d40e1e07/html5/thumbnails/7.jpg)
126 Notes and answers Reg Geo.notebook
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December 09, 2015
Nov 2812:17 PM
Assignment(p. 843) 222 even