Question

Given: AD = CF

Answer 1

Answer:

The correct option is: C

Step-by-step explanation:

Since we are given steps so as to prove: AB=EF

1. AD = CF----- given

2. AD = AB + BC + CD

   CF = CD + DE + EF  ------     segment addition

3. AB + BC + CD = CD + DE + EF  -------  Transitive Property of Equality

4. AB + BC = DE + EF  

5. BC = DE  ------ given

6. AB = EF  ------- Subtraction Property of Equality

The reason for the fourth statement in the proof is Subtraction Property of Equality.

" Since the side CD is added on both the sides of the equality; so we can subtract it from both the sides in order to obtain our statement 4 and proceed further " .

Hence option C is correct.