Question

Given: AB is the perpendicular bisector of IK. Name two lengths that are equal

Answer 1

IB and KB would have equal lengths, given that B intersects IK.

Answer 2

Answer:

The two lengths that are equal are IB and KB

Explanation:

Given

Line AB (Bisector)

Line IK

When a line is bisected, it means the line is divided into two equal parts.

Given that line AB bisects line IK.

Let's assume the bisection was done at point B, the two lengths that are equal are given as follows.

Line IK = Length IB + Length KB

Since, it's a bisection IB = KB.

So, we have

IK = IB + IB

IK = 2IB

IB = ½IK

IB = KB = ½IK

Hence, the lengths are;

Length IB and Length KB