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Chapter 1: Q5 (page 24)

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

Do two intersecting lines determine a plane?

Short Answer

Expert verified

Yes, two intersecting lines determine a plane.

Step by step solution

01

Step 1. State postulate 6.

Postulate 6 states that 鈥淭wo points determine a line鈥�.

02

Step 2. State Theorem 1-3.

Theorem 1-3 is stated as 鈥淚f two lines intersect, then exactly one plane contains both the lines.鈥�.

03

Step 3. Significance of theorem 1-3.

From the above theorem, it is clear that only one plane is there which can contain both the intersecting lines. It can be depicted by the diagram below.

So, it can be said that two intersecting lines determine a plane.

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