A biconditional statement combines a conditional statement with its converse by using "if and only if" or "iff" to connect them. This means that one conditional is true if and only if the other is also true. Biconditional statements use a double arrow to indicate the conditional must be true in both directions. Examples provided demonstrate biconditional statements for triangles being equilateral if and only if the three sides are congruent, and x equaling 4 if and only if 3x - 4 equals 5.

2. Conditional Statement: If today is
Tuesday, then tomorrow is
Wednesday
Converse: If tomorrow is
Wednesday, then today is Tuesday

3. Today is Tuesday if and only if
tomorrow is Wednesday
Today is Tuesday “iff” tomorrow is
Wednesday

4. Biconditional Statement is a statement
combing a conditional statement with its
converse. So, one conditional is true if and
only if the other is true as well. It often uses
the words, "if and only if" or the shorthand
"iff." It uses the double arrow to remind you
that the conditional must be true in both
directions.

5. Conditional Statement: If a
triangle has three congruent
sides, then it is equilateral.
Converse: If a triangle is
equilateral, then it has three
congruent sides.

6. Biconditional Statement: A triangle
is equilateral if and only if the three
sides are congruent.
Biconditional Statement: A triangle
is equilateral “iff” the three sides
are congruent.

7. Conditional Statement: If 3x -4 =
5, then x = 4
Converse: If x = 4, then 3x -4 = 5
Biconditional: If x = 4 if and
only if 3x - 4 = 5