Answer:
BI = BK is the correct Answer. So, statement A is true.
Step-by-step explanation:
Option B can not be true as B can not be the midpoint of IK as B is not on IK. Because J is on the IK as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. Hence, J is assumed as the midpoint of IK.
Option C i.e BK = AK can not be true because AJ does not necessarily equal to BJ.
Option D i.e m∠IAK also does not true necessarily true. The reason is simple i.e AJ is arbitrary.
So, Option A i.e BI = BK is the correct Answer as AB is the perpendicular bisector of IK, dividing or cutting it i,e IK into two equal segment parts. So it can be assumed that that J is the midpoint as but it doesn't necessarily mean that AJ = BJ, also it is true that perpendicular lines meet at 90 degree. Hence, statement A i.e BI = BK is true.
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