Respuesta :

Answer:

The required proof is shown below.

Step-by-step explanation:

Consider the provided figure.

It is given that KM=LN

We need to prove KL=MN

Now consider the provided statement.

KM = LN                     Given

KM = KL+LM              Segment addition postulate

LN = LM+MN             Segment addition postulate

KL+LM = LM+MN      Substitution property of equality

KL = MN                    Subtraction property of equality

The required proof is shown above.