Tangent Lines

<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-tangent-lines" target="_blank">Tangent Lines Exercise</a></p><p>A Tangent Line is a line that intersects ONLY ONE point of a circle&#39;s circumference. Just one. Not two.</p> <center><svg height="203.25625610351562" style=" width:661.6000366210938px; height:203.25625610351562px; background: #FFF; fill: none; " width="661.6000366210938" x="0" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" y="0"> <svg class="role-diagram-draw-area" xmlns="http://www.w3.org/2000/svg"><g class="shapes-region" style="stroke: black; fill: none;"><g class="composite-shape"><path class="real" d=" M148,81.3 C148,43.36 178.76,12.6 216.7,12.6 C254.64,12.6 285.4,43.36 285.4,81.3 C285.4,119.24 254.64,150 216.7,150 C178.76,150 148,119.24 148,81.3 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="arrow-line"><path class="connection real" d=" M285.77,7.85 L285.03,154.75" stroke-dasharray="" style="stroke: rgb(95, 175, 0); stroke-width: 1; fill: none; fill-opacity: 1; stroke-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M359,81.3 C359,43.36 389.76,12.6 427.7,12.6 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408C6384 426 6386 438 6386 449C6386 470 6378 482 6363 482C6342 482 6303 460 6230 408ZM7061 111L7037 94C6984 56 6936 36 6900 36C6853 36 6824 73 6824 133C6824 158 6827 185 6832 214C6849 218 6958 248 6983 259C7068 296 7107 342 7107 404C7107 451 7073 482 7023 482C6955 496 6845 423 6808 349C6778 299 6748 180 6748 113C6748 35 6792 -11 6864 -11C6921 -11 6977 17 7069 92ZM6846 274C6863 343 6883 386 6912 412C6930 428 6961 440 6985 440C7014 440 7033 420 7033 388C7033 344 6998 297 6946 272C6918 258 6882 247 6837 237Z" fill="rgb(255,29,56)" fill-opacity="1" stroke="rgb(255,29,56)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g></svg> </svg></center> <p><strong><span style="color:#8e44ad;">So What?</span></strong></p> <p>Tangent lines are important because they have a very important property. If you draw a line from the circle&#39;s center to the intersection point of the tangent line, the&nbsp;<u><strong>angle is always</strong></u>&nbsp;$90$&deg;.</p> <center><svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" x="0" y="0" width="661.6000366210938" height="198.1750030517578" style=" width:661.6000366210938px; height:198.1750030517578px; background: #FFF; fill: none; "> <svg xmlns="http://www.w3.org/2000/svg" class="role-diagram-draw-area"><g class="shapes-region" style="stroke: black; fill: none;"><g class="composite-shape"><path class="real" d=" M112,83.3 C112,45.36 142.76,14.6 180.7,14.6 C218.64,14.6 249.4,45.36 249.4,83.3 C249.4,121.24 218.64,152 180.7,152 C142.76,152 112,121.24 112,83.3 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"/></g><g class="arrow-line"><path class="connection real" stroke-dasharray="" d=" M249.77,9.85 L249.03,156.75" style="stroke: rgb(0, 0, 0); stroke-width: 1; fill: none; fill-opacity: 1; 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