Q1 - Geometry

Question

State Theorem 1-2 using the phrase one and only one.

Step-by-Step Solution

Answer

There is one and only one plane which is passing through a line and a point that is not lying on the line.

Step 1. Write the theorem 1-2.

There is exactly one plane passing through a line and a point that is not lying on the line.

Step 2. Relation between phrase ‘exactly one’ and phrase ‘one and only one’.

The phrase ‘exactly one’ has the same meaning as that of the phrase ‘one and only one’.

Step 3. Write the theorem 1-2 using the phrase ‘one and only one’.

There is one and only one plane which is passing through a line and a point that is not lying on the line.