Question 12 Marks
If arcs AXB and CYD of a circle are congruent, find the ratio of AB and CD.
Answer
View full question & answer→We have $\widehat{\text{AXB}}\cong\widehat{\text{CYD}}$
Since if two arcs of a circle are congruent, then their corresponding arcs are equal,
So we have chord AB = chord CD.
Hence, AB : CD = 1 : 1.
Since if two arcs of a circle are congruent, then their corresponding arcs are equal,
So we have chord AB = chord CD.
Hence, AB : CD = 1 : 1.