Given: AD = CF

Mathematics

1 answer:

photoshop1234 [79]4 years ago

6 0

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.

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