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Chapter 1: Q2 (page 24)

State Postulate 6 using the phrase one and only one.

Short Answer

Expert verified

Postulate 6 using the phrase one and only one is 鈥淭hrough any two points there is one and only one line.鈥�.

Step by step solution

01

Step 1. State postulate 6.

Postulate 6 states that 鈥淭hrough any two points there is exactly one line.

02

Step 2. Change the phrase 鈥渆xactly one鈥�.

The phrase 鈥渆xactly one鈥� is a synonym for the phrase 鈥渙ne and only one鈥�.

03

Step 3. Rewrite Postulate 6.

Postulate 6 can be restated as:

鈥淭hrough any two points, there is one and only one line."

Therefore, the answer is 鈥淭hrough any two points there is one and only one line.鈥�

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