Question

Apply postulates and theorems to complete the statements.

If there is a line j and a point P not in the line, then

Short answer

The blank should be filled with the point and the line will be positioned in a plane.

Step-by-step solution

Step 1. Select which theorem or postulate will be suitable.

Postulate 8 will be the best approach for the provided statement.

Step 2. Explain the postulate.

Postulate number 8 states that the position of a line that comprises a point and the position of a point having besides the line will be presented in one plane.

Step 3. Make the answer by using the explanation.

The incomplete statement matches with the explanation of the postulate so the blank space should be filled with ‘the point and the line will be positioned in a plane’.