Question

State Postulate 6 using the phrase one and only one.

Short answer

Postulate 6 using the phrase one and only one is “Through any two points there is one and only one line.”.

Step-by-step solution

Step 1. State postulate 6.

Postulate 6 states that “Through any two points there is exactly one line.

Step 2. Change the phrase “exactly one”.

The phrase “exactly one” is a synonym for the phrase “one and only one”.

Step 3. Rewrite Postulate 6.

Postulate 6 can be restated as:

“Through any two points, there is one and only one line."

Therefore, the answer is “Through any two points there is one and only one line.”