Question

which are correct statements regarding proofs? choose three correct answers.
a two - column proof consists of a list statements and the reasons the statements are true.
in a paragraph proof, statements and their justifications are written in sentences in a logical order.
a two - column proof lists only the given information and what is to be proven.
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.

Explanation:

1. Analyze the first statement: A two - column proof has two columns, one for statements and one for the reasons (justifications) why the statements are true. So this statement is correct.
2. Analyze the second statement: A flowchart proof uses boxes and arrows to show the logical flow of a proof, including both statements and justifications. So the statement "A flowchart proof gives a visual representation of the sequence of steps without justifications" is wrong.
3. Analyze the third statement: A paragraph proof presents the statements and their justifications in a continuous text (sentences) in a logical order. This statement is correct.
4. Analyze the fourth statement: A flowchart proof is a visual way to display the statements and the reasons (justifications) for a proof. This statement is correct.
5. Analyze the fifth statement: A two - column proof includes all the steps of the proof, not just the given information and what is to be proven. So this statement is wrong.

Answer:

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