Question

D. Which of the following is an essential part of a good proof?

a. an if-then statement
b. using the contrapositive
d. defining all the terms
c. listing the given information

Answer 1

A good proof in Mathematics requires an if-then statement, term definitions, and listing all given information.

Step-by-step explanation:

A good proof in Mathematics requires several essential parts:

1. An if-then statement: This is the logical structure of a proof, where you start with an assumption (the 'if' part) and show that it leads to a conclusion (the 'then' part).
2. Defining all the terms: It is important to clearly define all the terms used in your proof to avoid any ambiguity.
3. Listing the given information: Before starting a proof, it is crucial to list all the relevant information and assumptions provided in the problem.

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