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Chapter 1: Q1 (page 24)

Theorem 1-1 states that two lines intersect at exactly one point. The diagram suggests what would happen if you tried to show two 鈥渓ines鈥� drawn through two points. State the postulate that makes this situation impossible.

Short Answer

Expert verified

The postulate that makes the situation impossible is 鈥淭he postulate 6 which states that through any two points there is exactly one line.鈥�

Step by step solution

01

Step 1. State Theorem 1-1

Theorem 1-1 states that two lines intersect only at one point.

02

Step 2. Observe the diagram.

The given diagram

Shows two lines drawn through two points.

03

Step 3. State postulate 6.

In order to state a postulate, which proves the given situation impossible is postulate 6. Postulate 6 states that 鈥淭hrough any two points there is exactly one line.

Therefore, postulate 6 proves the situation impossible.

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