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Chapter 1: Q9. (page 29)

Apply postulates and theorems to complete the statements.

Through any two points ?炉.

Short Answer

Expert verified

The complete statement is:

Through any two points, exactly one line can pass.

Step by step solution

01

Step 1. Write the postulate 6.

Postulate 6 states that through any two points, exactly one line can pass.

02

Step 2. Observe the diagram.

The lineAB is passing through the pointsA and B.

03

Step 3. Complete the given statement.

From the above diagram, it can be noticed that:

No line other thanAB can pass through the two pointsA and B.

Therefore, one and only one can pass through the two points.

Therefore, the complete statement is through any two points, exactly one line can pass.

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