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:

Given: AB is the perpendicular bisector of IK.

⇒ 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°.

In ΔAIJ, By angle sum property of a triangle

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

∠AIJ + ∠IAJ = 90° ⇒ ∠IAJ < 90°

So, ∠IAJ is not a right angle.

Its not given IK is a perpendicular bisector so AJ = BJ need NOT be true.As A does not lie on the line IK so A can not be the mid point of IK.

Hence, we conclude the correct statement is IJ = JK

Did u want to find the value of x?

If there are four friends then each would get, 1.25 or 1 1/4. so this is how i solved 5 ÷ 4 = 1.25 . hope this ; )