Concept explainers
To find: the converse, inverse, and contrapositive of the given statement.
Answer to Problem 49PPS
Theconverse, inverse and contrapositive of the given statement is true.
Explanation of Solution
Given information:
The statement is given “If two
Find the converse of the given statement.
Converse of the statement is “if two angles are congruent, then the angles have the same measure”
Which is true.
Find the inverse of the statement.
The inverse of the statement is “If two angles do not have the same measure, then the angles are not congruent”
Which is the true.
Find the contrapositive of the statement.
The contrapositive of the statement is “if two angles are not congruent, then the angles do not have the same measure”
Which is true.
Therefore, theconverse, inverse and contrapositive of the given statement is true.
Chapter 2 Solutions
Geometry, Student Edition
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