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(a) When an implication p =→ q is used as a theorem, we refer to q as the conclusion. (b) A statement that is always false is called a lie. (c) The converse of p = q is q → p.

(a) When an implication p =→ q is used as a theorem, we refer to q as the conclusion. (b) A statement that is always false is called a lie. (c) The converse of p = q is q → p.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.5: The Format Proof Of A Theorem
Problem 11E: When can a theorem be cited as a reason reason in a proof?
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**Mark each statement True or False. Justify each answer.** (a) When an implication \( p \Rightarrow q \) is used as a theorem, we refer to \( q \) as the conclusion. (b) A statement that is always false is called a lie. (c) The converse of \( p \Rightarrow q \) is \( q \Rightarrow p \).
Transcribed Image Text:**Mark each statement True or False. Justify each answer.** (a) When an implication \( p \Rightarrow q \) is used as a theorem, we refer to \( q \) as the conclusion. (b) A statement that is always false is called a lie. (c) The converse of \( p \Rightarrow q \) is \( q \Rightarrow p \).
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When an implication   p-q  is used as a theorem, we always refer to q as the conclusion.

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