Question

which are correct statements regarding proofs? select three options.
□ in a paragraph proof, statements and their justifications are written in sentences in a logical order.
□ a two - column proof consists of a list statements and the reasons the statements are true.
□ a flowchart proof gives a visual representation of the sequence of steps without justifications.
□ a flowchart proof is a visual way of describing the statements and reasons for a proof.
□ a two - column proof lists only the given information and what is to be proven.

Explanation:

1. For the first option: A paragraph proof presents statements and justifications in sentences with logical order, which is correct.
2. For the second option: A two - column proof has a list of statements and their corresponding reasons (why the statements are true), this is correct.
3. For the third option: A flowchart proof does include justifications (reasons) along with the visual sequence of steps, so this option is wrong.
4. For the fourth option: A flowchart proof is a visual way to show both statements and reasons for a proof, this is correct.
5. For the fifth option: A two - column proof is not just about listing given info and what to prove, it has a series of statements and reasons, so this is wrong.

Answer:

1. In a paragraph proof, statements and their justifications are written in sentences in a logical order.
2. A two - column proof consists of a list statements and the reasons the statements are true.
3. A flowchart proof is a visual way of describing the statements and reasons for a proof.