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Inverses, Contrapositives, and Indirect Reasoning

Worksheet (Geometry)

PDF: Geometry - inverses, contrapostives

Inverses, Contrapositives, and Indirect Reasoning Worksheet


This worksheet contains problems on inverses, contrapositives, equivalent statements, and indirect reasononing. Problems include finding inverses and contrapositives of given statements.

Lesson: 

2. To find inverses and contrapositives.

Subject: 

Number of Problems: 

6

Pages: 

2

Answer Key: 

Yes

Samples: 

Inverses & Contrapositives

Complete:

1) Given Statement: If p, then q.
Contrapositive: If not _____ , then not _____.
Converse: : If ______, then ______.
Inverse: If not _____, then not _____.

2) Given: A true conditional.
a) Must its converse be true?
b) Must its inverse be true?
c) Must its contrapositive be true?

Write the contrapositive and inverse of each statement.

4) If a polygon has six sides, then it is a hexagon.

6) If a polygon is a triangle, then the sum of the measures of its angles is 180.

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