Questions: Given p: a figure has 4 sides q: a figure is a parallelogram Which statement is the conditional? If a figure does not have four sides, then it is not a parallelogram. If a figure is a parallelogram, then it has four sides. If a figure has four sides, then it is a parallelogram. If a figure is not a parallelogram, then it does not have four sides.

Solution Steps

To determine which statement is the conditional, we need to identify the statement that follows the form "If p, then q" or "If q, then p". Here, p is "a figure has 4 sides" and q is "a figure is a parallelogram".

We are given four statements and need to determine which one is the conditional statement. The statements are:

1. If a figure does not have four sides, then it is not a parallelogram.
2. If a figure is a parallelogram, then it has four sides.
3. If a figure has four sides, then it is a parallelogram.
4. If a figure is not a parallelogram, then it does not have four sides.

We define:

• \( p \): A figure has 4 sides.
• \( q \): A figure is a parallelogram.

A conditional statement follows the form:

• \( \text{If } p, \text{ then } q \)
• \( \text{If } q, \text{ then } p \)

We compare the given statements with the conditional forms:

• \( \text{If } p, \text{ then } q \): If a figure has 4 sides, then it is a parallelogram.
• \( \text{If } q, \text{ then } p \): If a figure is a parallelogram, then it has 4 sides.

Final Answer