True Or False
Short Answer TypeGiven: ∠AOB and ∠CO'D are the two equal angles subtended by the chords AB and CD of two congruent circles with centres O and O' respectively. (See Example 1)
To Prove: AB = CD.
Proof: In ∆OAB and ∆O'CD,
OA = O'C
| Radii of congruent circles
OB = O'D
| Radii of congruent circles
∠AOB = ∠CO'D | Given
∴ ∆OAB ≅ ∆O'CD | SAS Rule
∴ AB = CD. | C.P.C.T.
Long Answer TypeAC and BD are chords of a circle which bisect each other. Prove that:
(i) AC and BD are diameters.
(ii) ABCD is a rectangle.
Short Answer Type
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