Saved Bookmarks
| 1. |
Theones 10s: Equal chonds of a circle (or of congruent circles) are equidissantfrom the centre for cestrestheorem is true or not. For this, |
|
Answer» Given a circle with centre O and chords AB = CDDraw OP⊥ AB and OQ⊥ CDHence AP = BP = (1/2)AB and CQ = QD = (1/2)CDAlso ∠OPA = 90° and ∠OQC = 90°Since AB = CD⇒ (1/2) AB = (1/2) CD⇒AP = CQIn Δ’s OPA and OQC,∠OPA = ∠OQC = 90°AP = CQ (proved)OA = OC (Radii)∴ ΔOPA ≅ ΔOQC (By RHS congruence criterion)Hence OP = OQ (CPCT) hit like if you find it useful |
|