What are the two conditional statements make up the biconditional statement shown below?

Two lines are skew if and only if they are not coplanar.

What statement?

To determine the two conditional statements that make up the biconditional statement, let's break it down.

The biconditional statement is:
"Two lines are skew if and only if they are not coplanar."

In a biconditional statement, we have two conditional statements that go in both directions. The first part of the statement implies the second part, and vice versa.

Let's identify the two conditional statements by isolating them:

Conditional Statement 1: "If two lines are skew, then they are not coplanar."
This is the first part of the biconditional statement. If we have two lines that are skew (an angle is formed between them), it implies that they are not coplanar (not lying in the same plane).

Conditional Statement 2: "If two lines are not coplanar, then they are skew."
This is the second part of the biconditional statement. If we have two lines that are not coplanar (not lying in the same plane), it implies that they are skew (an angle is formed between them).

So, the two conditional statements that make up the biconditional statement are:

1. "If two lines are skew, then they are not coplanar."
2. "If two lines are not coplanar, then they are skew."