Concept explainers
To find: the converse, inverse, and contrapositive of the given statement.
Answer to Problem 51PPS
The converse, inverse and contrapositive of the statement is true.
Explanation of Solution
Given information:
The statement is given “All congruent segments have the same length”.
Find the converse of the given statement.
Converse of the statement is “if segments have the same length, then they are congruent”.
Which is true.
Find the inverse of the statement.
The inverse of the statement is “if segment are not congruent, then they do not have the same length”
Which is the true.
Find the contrapositive of the statement.
The contrapositive of the statement is “if segments do not have the same length, then they are not congruent”
Which is true.
Therefore, the converse, inverse and contrapositive of the statement is true.
Chapter 2 Solutions
Geometry, Student Edition
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