Given: ab is the perpendicular bisector of ik.
which statement can you conclude is true from the given information?
a. aj=bj
b. angle iaj is a right angle
c. ij=jk
d. a is the midpoint of ik

The correct answer is C. IJ = JK

Step-by-step explanation:

⇒ AB divides the line segment IK in two equal parts i.e. IJ = JK and the angle formed at the point of intersection J is 90° ⇒ ∠AJI = 90°.

∠AJI + ∠AIJ + ∠IAJ = 180° ( But ∠AJI = 90° )

∠AIJ + ∠IAJ = 90° ⇒ ∠IAJ < 90°

So, ∠IAJ is not a right angle.

Hence, we conclude the correct statement is IJ = JK