{"id":9101,"date":"2020-12-04T05:35:46","date_gmt":"2020-12-04T00:05:46","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=9101"},"modified":"2020-12-04T15:42:03","modified_gmt":"2020-12-04T10:12:03","slug":"circles-chords","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/circles-chords\/","title":{"rendered":"Circles and Chords"},"content":{"rendered":"

Circles and Chords<\/span><\/h2>\n

A chord<\/strong> is a segment that joins two points of the circle.
\nA diameter<\/strong> is a chord that contains the center of the circle.<\/p>\n

Theorems:<\/strong><\/p>\n

    \n
  1. In a circle, a radius perpendicular to a chord bisects the chord.
    \n\"Circles<\/li>\n
  2. In a circle, a radius that bisects a chord is perpendicular to the chord.<\/li>\n
  3. In a circle, the perpendicular bisector of a chord passes through the center of the circle.<\/li>\n<\/ol>\n

    Proof of Theorem 1:<\/strong>
    \n\"Circles\"Circles<\/p>\n

    Theorem:<\/strong>
    \nIn a circle, or congruent circles, congruent chords are equidistant from the center.
    \n\"Circles(converse)<\/strong> In a circle, or congruent circles, chords equidistant from the center are congruent.<\/p>\n

    Theorem:<\/strong>
    \nIn a circle, or congruent circles, congruent chords have congruent arcs.
    \n\"Circles(converse)<\/strong> In a circle, or congruent circles, congruent arcs have congruent chords.<\/p>\n

    Theorem:<\/strong>
    \nIn a circle, parallel chords intercept congruent arcs.
    \n\"Circles<\/p>\n","protected":false},"excerpt":{"rendered":"

    Circles and Chords A chord is a segment that joins two points of the circle. A diameter is a chord that contains the center of the circle. Theorems: In a circle, a radius perpendicular to a chord bisects the chord. In a circle, a radius that bisects a chord is perpendicular to the chord. In … Read more<\/a><\/p>\n","protected":false},"author":8,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[3332],"yoast_head":"\nCircles and Chords - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/circles-chords\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Circles and Chords\" \/>\n<meta property=\"og:description\" content=\"Circles and Chords A chord is a segment that joins two points of the circle. A diameter is a chord that contains the center of the circle. Theorems: In a circle, a radius perpendicular to a chord bisects the chord. In a circle, a radius that bisects a chord is perpendicular to the chord. In ... 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