Concept explainers
To find: the converse, inverse, and contrapositive of the given statement.
Answer to Problem 48PPS
The converse and inverse of the statement is false and contrapositive is true.
Explanation of Solution
Given information:
The statement is given “if a bird is an ostrich, then it cannot fly”.
Find the converse of the given statement.
Converse of the statement is “if bird cannot fly, then the bird is an ostrich”
Which is false.
Counterexample:
The bird could be penguin which also cannot fly.
Find the inverse of the statement.
The inverse of the statement is “if a bird is not an ostrich, then it can fly”
Which is the false.
Counterexample:
The bird could be penguin which also cannot fly.
Find the contrapositive of the statement.
The contrapositive of the statement is “if bird can fly, then the bird is not an ostrich”
Which is true.
Therefore, the converse and inverse of the statement is false and contrapositive is true.
Chapter 2 Solutions
Geometry, Student Edition
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