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Question
write the converse of the conditional statement below. determine if the converse is true or false. if true, combine the statements as a biconditional. if false, write
o biconditional\. conditional statement: if two angles have the same measure, then they are congruent. converse: choose your answer... is the conv answer... biconditio swer... if two angles are not congruent, then they do not have the same measure. if two angles are congruent, then they have the same measure. if two angles do not have the same measure, then they are not congruent. choose the conditional statement. a figure has eight sides if and only if it is an octagon. if a figure has six sides, then it is a hexagon. if a figure is an octagon, then it has eight sides
The converse of a conditional statement "If p, then q" is "If q, then p". Here, p is "two angles have the same measure" and q is "they are congruent". So the converse is formed by swapping p and q. Also, by the definition of congruent angles, if two angles are congruent, they have the same measure, so the converse is true and can be combined as a biconditional.
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Converse: If two angles are congruent, then they have the same measure.
Is the converse true: true
Biconditional: Two angles have the same measure if and only if they are congruent.