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Chapter 1: Q4 (page 24)

Postulate 6 is sometimes stated as 鈥淭wo points determine a line.鈥�

Restate Theorem 1-2 using the word determine.

Short Answer

Expert verified

Restated Theorem 1-2 is鈥淎-line and a point not in the line determine exactly one plane.鈥�.

Step by step solution

01

Step 1. State Theorem 1-2.

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

02

Step 2. Change the phrase 鈥渢here is鈥�.

In order to restate theorem 1-2, the phrase 鈥渢here is鈥� can be changed with the phrase 鈥渄etermine鈥�.

03

Step 3. Rewrite Theorem 1-2.

The Theorem 1-2 can be restated as:

鈥淎 line and a point not in the line determine exactly one plane.鈥�

Hence, the answer is 鈥淎-line and a point not in the line determine exactly one plane.鈥�

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