converse,contrapositive,inverse

converse of a conditional

A statement formed by interchanging the hypothesis and the conclusion in a conditional statement.

inverse of a conditional

A new statement formed by negating both the hypothesis and the conclusion.

contrapositive of a conditional

Formed by exchanging the hypothesis and the conclusion and negating both of them.

Converse of If two angles are adjacent, then they have the same vertex.

If two angles have the same vertex, then they are adjacent.

Inverse of If two angles are adjacent, then they have the same vertex.

If two angles are not adjacent, then the angles to not have the same vertex

Contrapositive of If two angles are adjacent, then they have the same vertex.

If two angles do not have the same vertex, then the two angles are not adjacent.

Converse of If today is Tuesday, then tomorrow is Wednesday

If tomorrow is Wednesday, then today is Tuesday.

Inverse of If today is Tuesday, then tomorrow is Wednesday

If today is not Tuesday, then tomorrow is not Wednesday

Contrapositive of If today is Tuesday, then tomorrow is Wednesday

If tomorrow is not Wednesday, then today is not Tuesday.

inverse of If a polygon is a square, then it is a rectangle.

If a polygon is not a square, then it is not a rectangle.

converse of If a polygon is a square, then it is a rectangle.

If a polygon is a rectangle, then it is a square.

contrapositive of If a polygon is a square, then it is a rectangle.

If a polygon is not a rectangle, then it is not a square.

converse of If two lines do intersect, then their intersection is one point.

If the intersection of two lines is a point, then they intersect.

inverse of If two lines do intersect, then their intersection is one point.

If two lines do not intersect, then their intersection is not one point.

contrapositive of If two lines do intersect, then their intersection is one point.

If the intersection of two lines is not one point, then the two lines do not intersect.

biconditional

An if and only if statement that can be created when the original conditional statement and the converse are both true.

Biconditional of If two lines do intersect, then their intersection is one point.

Tow lines intersect if and only if their intersection is one point.

Biconditional of If today is Tuesday, then tomorrow is Wednesday

Today is Tuesday if and only if tomorrow is Wednesday.

Deductive reasoning

based on facts, rules, and postulates

Inductive reasoning

based on observations, patterns, and examples