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

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 28E: In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove:...
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Suppose the statement, "if the pentagon is green, then the triangle is red," is true. Assume also
that the converse is false. Classify each statement below as true or false (if possible).
?
1. The pentagon is green if and only if the triangle is not
red.
'V
?
?
?
2. The pentagon is green if and only if the triangle is red.
3. The triangle is red.
4. The pentagon is green.
Transcribed Image Text:Suppose the statement, "if the pentagon is green, then the triangle is red," is true. Assume also that the converse is false. Classify each statement below as true or false (if possible). ? 1. The pentagon is green if and only if the triangle is not red. 'V ? ? ? 2. The pentagon is green if and only if the triangle is red. 3. The triangle is red. 4. The pentagon is green.
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