Question

What is the missing reason in the proof?

Answer 1

A............zzzzzzzzzz

Answer 2

Answer with explanation:

$\bar{AB}\cong\bar{CD}$

                                     ---------------------[Given]

$\bar{AB}=\bar{CD}$

                                   -----------------[By definition of congruent segments]---(2)

Also, AB= AE + EB

CD= CF +FD

Substituting the value of , AB and CD in equation (2),which reduces to

A E + E B=CF +FD

Also, $\bar{CF}=\bar{EB}$

CF=E B--------[By definition of congruent segments]

A E + E B=FD +E B→→[Substitution Property]

Subtracting EB , from both sides

AE +EB - EB = FD + EB - EB

Which gives, A E = F D→→→→[Subtraction Property of Equality]

$\bar{AE}\cong\bar{FD}$

→→→The Missing reason in the proof is :

Option(D.): Subtraction Property of Equality