Writing Conditional Statements Activity

Example 1:

If this month is September, then next month is October.

1. Choose one of the following statements as the converse form of the statement.

a. If this month is not September, then next month is not October.

b. If next month is October, then this month is September.

c. This month is not September if and only if next month is not October.

2. Choose one of the following statements as the inverse form of the statement.

a. If this month is not September, then next month is not October.

b. If next month is not October, then this month is not September.

c. This month is not September if and only if next month is not October.

3. Choose one of the following statements as the biconditional form of the statement.

a. If this month is not September, then next month is not October.

b. If next month is October, then this month is September.

c. This month is September if and only if next month is October.

Example 2:

If a figure has four sides, then it is a quadrilateral.

1. Choose one of the following statements as the converse form of the statement.

a. If the figure does not have four sides, then it is not a quadrilateral.

b. If the figure is a quadrilateral, then it has four sides.

c. A figure is not a quadrilateral if and only if it does not have four sides.

2. Choose one of the following statements as the contrapositive form of the statement.

a. If the figure does not have four sides, then it is not a quadrilateral.

b. If the figure is not a quadrilateral, then it does not have four sides.

c. A figure is not a quadrilateral if and only if it does not have four sides.

3. Choose one of the following statements as the biconditional form of the statement.

a. If a figure does not have four sides, then it is not a quadrilateral.

b. If a figure is a quadrilateral, then it has four sides.

c. A figure is a quadrilateral if and only if it has four sides.