Question

Last question which is correct!!

Answer 1

If
`\bar A \bar B` is the perpendicular bisector of
`\bar I \bar K`. So, that AI=AK. Option 1st is the right choice.

The given image shows a line segment IK and a line AB that is perpendicular to IK and bisects it at point J. This means that AJ=JK.

From the diagram, we can also see that △AIJ and △AJK are right triangles, since AB is perpendicular to IK.

Since △AIJ and △AJK are right triangles with the same hypotenuse (AJ), we can conclude that they are congruent triangles. This means that all of their corresponding side lengths are equal.

Therefore, we can conclude that AI=AK.

Option 1st is the right choice.