Given

a figure has 4 sides

it is a parallelogram

Select the statement for which the truth values are TRUE.

Converse and Conditional

Inverse and Converse

Conditional and Inverse

If we’re diving into the world of logical statements with p and q, it’s crucial to understand what these terms mean in a fun way! We’re essentially talking about a conditional statement “If p, then q,” which in this case is: “If a figure has 4 sides §, then it is a parallelogram (q).”

Now, when we switch things up to create converses and inverses, we find ourselves in a logical sandbox. The converse would be “If it is a parallelogram (q), then it has 4 sides §,” while the inverse states “If a figure does not have 4 sides (¬p), then it is not a parallelogram (¬q).” The only true statement out of these combinations would be the original conditional statement.

In this playful logic game, remember that not all shapes are created equal! For example, a rectangle or a square fits perfectly in our 4-sided playground but still maintains their unique identities as parallelograms. Always check each condition and implication to unravel which statements hold true!