Answer:
For statement 2, reason is Segment addition postulate.
Statement 3 and reason is
BD=AC+CD using substitution property of equality.
Statement 4 and reason is
AC+CD=BD using symmetric property of equality
Statement 5 is
BD= BC+CD
Statement 6 and reason is
AC+CD=BC+CD using transitive property of equality
Reason for 7 is
Subtraction property of equality.
Step-by-step explanation:
For statement 2, we use segment addition postulate to say AC= AE+EC.