Concept explainers
Towrite:Theconverse, inverse, and contrapositive of the following true conditional. Then,determine whether each related conditional is true or false. If true, explain your reasoning. If false, give a counterexample.
Answer to Problem 20SGR
Theall conditional statement is True.
Explanation of Solution
Given information:The given information is:If two
Calculation:
Converse: if they have the same degree of measure, then two angles are congruent.
Inverse: if two angles are not congruent, then they arenot the same degree measure.
Contrapositive: if they do not have the same degree measure, then the two angles are not congruent.
The Converse is just the, if and then backwards. The inverse is the original if and then but withnegatives.
The contrapositive is just if and then backwards withnegatives.
Therefore, the allconditional statement is True.
Chapter 2 Solutions
Geometry, Student Edition
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