Question

Which statement is true about the diagram?

A line has points A, K, B, T. The distance from A to B is 10, the distance from K to B is 5, and the distance from B to T is 4.

K is the midpoint of AB.
B is the midpoint of KT.
AK = BT
AB = KT

Answer 1

K is the midpoint of AB.

Reason: AK = AB − KB = 10 − 5 = 5, so AK = KB.
B is not the midpoint of KT because KB = 5 ≠ BT = 4.
AK ≠ BT (5 ≠ 4) and AB ≠ KT (10 ≠ 9).