Geometry Of The Circle Tangents & Secants GOT O T CC TGTS ...
3.7 Secants and Tangents
description
Transcript of 3.7 Secants and Tangents
![Page 1: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/1.jpg)
3.7 Secants and Tangents
![Page 2: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/2.jpg)
Tangent: a line that shares only one point with a circle and is perpendicular to the radius or diameter at that point.
Point of tangency: the point that a tangent shares with a circle
A radius is perpendicular (makes a 90o angle) to the tangent at the point of tangency
![Page 3: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/3.jpg)
Segments
Two tangents Tangents are equal
Tangent and Secant Tangent2 = outer segment(whole secant)
Two Secants Outer segment(whole secant) =
outer segment(whole secant)
Two Chords Segment1 x segment2 = segment1 x segment2
![Page 4: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/4.jpg)
Angles/Arcs
Two Tangents Exterior = ½(arc far away – arc close to angle)
Tangent and Secant Exterior = ½(arc far away – arc close to angle)
Two Secants Exterior = ½(arc far away – arc close to angle)
Two Chords Interior = ½(intercepted arc + intercepted arc)
![Page 5: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/5.jpg)
KL is a radius of circle K. Determine whether LM is tangent to circle K. Justify your answer.
![Page 6: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/6.jpg)
*Do this one on the very back page of the packet. Find x, if EW is a tangent to circle D.
![Page 7: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/7.jpg)
AC and BC are tangent to circle Z. Find the value of x.
![Page 8: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/8.jpg)
Find the perimeter of triangle SQR.
![Page 9: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/9.jpg)
Find x.
![Page 10: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/10.jpg)
Find x.
![Page 11: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/11.jpg)
Find x.
![Page 12: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/12.jpg)
Find the measure of arc BC.
![Page 13: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/13.jpg)
Find the measure of arc XYZ.
![Page 14: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/14.jpg)
* Do this one on the extra space under example 7. Find x.
![Page 15: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/15.jpg)
Find x.
![Page 16: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/16.jpg)
Find x.
![Page 17: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/17.jpg)
Find x.
![Page 18: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/18.jpg)
Find x.
![Page 19: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/19.jpg)
Find x.
![Page 20: 3.7 Secants and Tangents](https://reader030.fdocuments.in/reader030/viewer/2022033016/56813de3550346895da7b865/html5/thumbnails/20.jpg)
Find x.