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Use the conditional statement below to answer each question:

"If a polygon is regular, then all of its angles are congruent."

a. Can the conditional be written as a biconditional statement? Why or why not? Support your answer.

Sagot :

GinnyAnswer

Final answer:

The conditional statement given cannot be written as a biconditional statement due to the one-way nature of the condition. A biconditional statement requires a bidirectional relationship.


Explanation:

No, the conditional statement 'If a polygon is regular, then all of its angles are congruent' cannot be written as a biconditional statement because a biconditional statement asserts that the conditional relationship goes both ways. In this case, while a regular polygon will always have congruent angles, having congruent angles doesn't necessarily mean the polygon is regular.

To convert the given conditional statement to a biconditional statement, you would need to show that not only all regular polygons have congruent angles but also that all polygons with congruent angles are regular, which is not always true.

For example, a rhombus is a type of polygon where all angles are congruent, but it is not a regular polygon. Therefore, the given statement does not meet the criteria to be represented as a biconditional statement.


Learn more about Conditional Statements in Mathematics here:

https://brainly.com/question/40964733


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