Two chords and of a circle with centre are on the opposite sides of . Then . Write True or False and justify your answer
Let and be the chord of the circle with centre on the opposite side of .
From the triangles and :
(Common side in both triangles)
(Both and are the radius of the circle)
But we can’t determine that either the third side of both triangles is equal or any angle is equal.
Therefore is not congruent to .
∴ .
Hence, the given statement is false.