https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:circles/x06d55bfa213a79fd:perpendicular-to-the-chord-and-equal-chords/v/proof-radius-is-perpendicular-to-a-chord-it-bisects-indian-accent 2025-06-04T10:04:13.13703146Z Proof: radius is perpendicular to a chord it bisects Lets prove that if a radius in a circle is drawn so it bisects a chord, then the radius is also perpendicular to that chord. The proof uses SSS congruence. Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Proof: radius is perpendicular to a chord it bisects Lets prove that if a radius in a circle is drawn so it bisects a chord, then the radius is also perpendicular to that chord. The proof uses SSS congruence. https://cdn.kastatic.org/ka-youtube-converted/2nZ4kXK-46E.mp4/2nZ4kXK-46E.mp4 499 Perpendicular to the chord and equal chords https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:circles/x06d55bfa213a79fd:perpendicular-to-the-chord-and-equal-chords/v/proof-perpendicular-radius-bisects-chord-indian-accent 2025-06-04T10:04:13.13703146Z Proof: perpendicular radius bisects chord Simple proof using right triangle-side-hypotenuse (RSH) congruence criterion to show that a radius perpendicular to a chord bisects it Kalakrit (Dubbing) video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Proof: perpendicular radius bisects chord Simple proof using right triangle-side-hypotenuse (RSH) congruence criterion to show that a radius perpendicular to a chord bisects it https://cdn.kastatic.org/ka-youtube-converted/Js9u5i8_HmQ.mp4/Js9u5i8_HmQ.mp4 233 Perpendicular to the chord and equal chords https://www.khanacademy.org/math/revision-term-1-mh-math-class-10/x041ca11815640a3a:week-3/x041ca11815640a3a:circle/v/proof-equal-chords-are-equidistant-from-the-center 2024-06-20T19:30:06.526648211Z Proof: Equal chords are equidistant from the center We discuss the proof of theorem which says that the equal chords of the circle are equidistant from the center. Devashish Phadnis video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Proof: Equal chords are equidistant from the center We discuss the proof of theorem which says that the equal chords of the circle are equidistant from the center. https://cdn.kastatic.org/ka-youtube-converted/NglXukgt-GM.mp4/NglXukgt-GM.mp4 312 Perpendicular to the chord and equal chords https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:circles/x06d55bfa213a79fd:perpendicular-to-the-chord-and-equal-chords/v/chords-equidistant-from-the-centre-of-the-circle-are-equal-in-length 2026-02-11T08:39:31.456454846Z Chords equidistant from the centre of the circle are equal in length This video explains why chords equidistant from the centre of a circle are equal in length, using the concept of congruency. By drawing perpendiculars from the centre to each chord, we form two right triangles. Since the perpendiculars are equal and the radii are equal, the triangles are congruent. From this congruency, it follows that the corresponding chord segments are equal, proving that the chords themselves are equal in length. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Chords equidistant from the centre of the circle are equal in length This video explains why chords equidistant from the centre of a circle are equal in length, using the concept of congruency. By drawing perpendiculars from the centre to each chord, we form two right triangles. Since the perpendiculars are equal and the radii are equal, the triangles are congruent. From this congruency, it follows that the corresponding chord segments are equal, proving that the chords themselves are equal in length. 197 Perpendicular to the chord and equal chords https://www.khanacademy.org/math/revision-term-1-od-math-class-10/x03e14a980a7a91ad:week-3/x03e14a980a7a91ad:circle/e/perpendicular-from-centre-to-a-chord 2026-04-07T23:17:37.123726494Z Perpendicular from centre to a chord and chords equidistant from centre Let's solve some problems to better understand and apply the theorem that talks about the perpendicular dropped from the centre of a circle to a chord. Aakash Bagga exercise