Write True or False and justify your answer in each of the following: Two chords AB and AC of a circle with centre O are on the opposite sides of OA. Then
False
Solution:
Given:
AB & AC are chords of a circle with centre O.
They are given to be at the opposite sides of OA.
To find out
If OAB =OAC
Join OB and OC
Consider AOC & AOB we have
OB = OC (Radii of the same circle)
AO = AO (common)
But it is not sure whether AB = AC or not.
Also, we do not have any other condition to prove that the triangles are congruent.
OAB OAC
Therefore the given statement is false.