91Ó°ÊÓ

Which of the following statements is \(\log _{-}\) ically equivalent to a conditional statement? a) Its converse. b) Its inverse. c) Its contrapositive.

To prove a theorem indirectly, we begin by assuming that its conclusion is false. List the assumption with which an indirect proof of each of the following statements would begin. Example: If a tailor wants to make a coat last, he makes the pants first. Answer: Suppose that the tailor does not make the pants first. If a chicken could talk, it would speak foul language.

What is a statement that can be represented symbolically by "If \(a\), then \(b\) " called?

When a word is defined in geometry, what is understood to be true about the word and its definition?

A syllogism consists of three conditional statements. What are the first two statements called?

A syllogism consists of three conditional statements. What is the third statement called?

To prove a theorem indirectly, we begin by assuming that its conclusion is false. List the assumption with which an indirect proof of each of the following statements would begin. Example: If a tailor wants to make a coat last, he makes the pants first. Answer: Suppose that the tailor does not make the pants first. If a teacher is cross-eyed, he has no control over his pupils.

Is the converse of a true statement necessarily true?

Is the converse of a definition necessarily true?

Is it possible to What is the difference between a postulate and a theorem?