Question

Given AD=CF BC=DE 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 What is the reason for the for statement in this proof

Answer 1

The correct options are A, B, and C

Explanation:

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Answer 2

Option C. Subtraction Property of Equality

Explanation:

Statement Reason

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

If we subtract CD from both sides of the equation:

AB+BC+CD-CD=CD+DE+EF-CD

Statement Reason

4. AB+BC=DE+EF Subtration Property of Equality