For example, if you have a general theorem that says ”if this, then that”, then the converse theorem would say ”if that, then this”. The converse of a theorem happens when the conclusion and hypothesis of a theorem are switched. Converse is empowering today’s daring spirit of youth by celebrating freedom of expression through individuals and their movement(s). Converse: If 2 angles are congruent, then they are right angles. Examples: Statement: If 2 angles are right angles, then they are congruent. If two angles have the same measure, then they are congruent. What is the converse of the statement if two angles are right angles then the angles are congruent? What is the converse of the corresponding angles Theorem?Ĭonverse of the Corresponding Angles Theorem: If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel. The converse is also true that is, if two lines l and m are cut by a transversal in such a way that the corresponding angles formed are congruent, then l∥m. The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal, the resulting corresponding angles are congruent. The converse of “If it rains, then they cancel school” is “If they cancel school, then it rains.” To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion. To form the converse of the conditional statement, interchange the hypothesis and the conclusion. For example, the converse of “If it is raining then the grass is wet” is “If the grass is wet then it is raining.” Switching the hypothesis and conclusion of a conditional statement. 5 Is the converse of a conditional statement always true?.4 What is the converse of the statement if it is Sunday then I do not go to school?.2 What is the converse of the corresponding angles Theorem?.1 What is a converse in geometry examples?.
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