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Chapter 1: Q1 (page 25)

State Theorem 1-2 using the phrase one and only one.

Short Answer

Expert verified

There is one and only one plane which is passing through a line and a point that is not lying on the line.

Step by step solution

01

Step 1. Write the theorem 1-2.

There is exactly one plane passing through a line and a point that is not lying on the line.

02

Step 2. Relation between phrase ‘exactly one’ and phrase ‘one and only one’.

The phrase ‘exactly one’ has the same meaning as that of the phrase ‘one and only one’.

03

Step 3. Write the theorem 1-2 using the phrase ‘one and only one’.

There is one and only one plane which is passing through a line and a point that is not lying on the line.

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Most popular questions from this chapter

For the following figure, name the three segments congruent to PQ.

A path between opposite vertices of the square is made up of hundreds of horizontal and vertical segments. (The diagram shows a simplified version.) What is the best approximation to the length of the path-24, 34, 44, or more than 44?

Classify the statement as true or false.

T, O, and R are collinear.

Suppose Pat spoke a line l joining F and T while you thought of a line n joining F and T. Is it better to say that l and n are two different lines, or to say that we have one line with two different names?

Classify the statement as true or false.

intersects plane M at point O.
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