Suppose the statement, "if the pentagon is purple, then the circle is green," is true. Assume also that the converse is false. Classify each statement below as true or false (if possible). ? 1. The circle is green. 2 ? ? 2. The pentagon is purple. 3. The pentagon is purple if and only if the circle is green. 4. The pentagon is purple if and only if the circle is not green.

Suppose the statement, "if the pentagon is purple, then the circle is green," is true. Assume also that the converse is false. Classify each statement below as true or false (if possible). ? 1. The circle is green. 2 ? ? 2. The pentagon is purple. 3. The pentagon is purple if and only if the circle is green. 4. The pentagon is purple if and only if the circle is not green.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.2: Indirect Proof

Problem 11E: Which of the following statements would you prove by the indirect method? a In triangle ABC, if...

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