The Derived Conditional Statements

If-Then Statements is also called as______.

What is the converse of the statement?

“ If a polygon is a quadrilateral, then it has four sides”?

• If a polygon has four sides, then it is a quadrilateral.

• If a polygon is not a quadrilateral, then the number of its sides is not four.

• If the number of sides of a polygon is not four, then it is not a quadrilateral

• If a quadrilateral is not a polygon, then it is not a closed plane figure.

What is the inverse of the statement :

“ If a polygon is a triangle, then it has three sides”?

• If a polygon has three sides, then it is a triangle.

• If a polygon is not a triangle, then the number of its sides is not three.

• If the number of sides of a polygon is not three, then it is not a triangle

• If a triangle is not a polygon, then it is not a closed plane figure.

What is the converse of the statement :

“ If a polygon is a triangle, then it has three sides”?

• If a polygon has three sides, then it is a triangle.

• If a polygon is not a triangle, then the number of its sides is not three.

• If the number of sides of a polygon is not three, then it is not a triangle

• If a triangle is not a polygon, then it is not a closed plane figure.

Write in symbols, Inverse of p -> q.

• ~ p -> q

• p -> ~ q

• ~ p -> ~ q

• ~ q -> ~ q

Write in symbols, converse of p -> q.

• ~ p -> q

• p -> ~ q

• ~ p -> ~ q

• q -> p

Write in symbols,

inverse of ~ p -> q.

• ~ p -> q

• p -> ~ q

• ~ p -> ~ q

• q -> p

Write in symbols,

contrapositive of q -> p.

• ~ p -> q

• p -> ~ q

• ~ p -> ~ q

• q -> p

In the converse statement below, what is the inverse statement?

If Nathan enjoys sour foods, then he likes citrus fruits.

• If Nathan enjoys sour foods, then he likes citrus fruits.

• If Nathan likes citrus fruits, then he enjoys sour foods.

• If Nathan does not enjoy sour foods, then he does not like citrus fruits.

• If Nathan does not like citrus fruits, then he does not enjoy sour foods..

In the inverse statement below, what is the contrapositive statement?

If Nathan enjoys sour foods, then he likes citrus fruits.

• If Nathan enjoys sour foods, then he likes citrus fruits.

• If Nathan likes citrus fruits, then he enjoys sour foods.

• If Nathan does not enjoy sour foods, then he does not like citrus fruits.

• If Nathan does not like citrus fruits, then he does not enjoy sour foods..