Question

Postulate 6 is sometimes stated as “Two points determine a line.”

Restate Theorem 1-2 using the word determine.

Short answer

Restated Theorem 1-2 is“A-line and a point not in the line determine exactly one plane.”.

Step-by-step solution

Step 1. State Theorem 1-2.

Theorem 1-2 states that “Through a line and a point not in the line there is exactly one plane."

Step 2. Change the phrase “there is”.

In order to restate theorem 1-2, the phrase “there is” can be changed with the phrase “determine”.

Step 3. Rewrite Theorem 1-2.

The Theorem 1-2 can be restated as:

“A line and a point not in the line determine exactly one plane.”

Hence, the answer is “A-line and a point not in the line determine exactly one plane.”