Question

Which are correct statements regarding proofs? Check all that apply. 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 paragraph proof is a two-column proof in sentence form. A two-column proof lists only the given information and what is to be proven. A flowchart proof includes a logical series of statements in boxes with connecting arrows.

Answer 1

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 paragraph proof is a two-column proof in sentence form.

Explanation:

Answer 2

The correct statements are:

In a paragraph proof, statements and their justifications are written in sentences in a logical order;
A two-column proof consists of a list of statements and the reasons the statements are true;
A paragraph proof is a two-column proof in sentence form; and
A flowchart proof includes a logical series of statements in boxes with connecting arrows.

Explanation:

Both a paragraph proof and a two-column proof lists a series of statements and their justifications in order to prove something. The difference between them is that a paragraph proof is written in paragraph form, using sentences, whereas a two-column proof is written as a two-column chart, with one column being "Statements" and one column being "Reasons."

A flowchart proof is a concept map used to show the series of statements and their justifications needed to prove something. In a flowchart proof, the statements are written in boxes that have arrows going from one to the next. The justifications for the statements are written below the boxes.