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Chapter 3: Q14 (page 86)

How many lines can be drawn through P parallel to QR↔?

Short Answer

Expert verified

The required count of line is one.

Step by step solution

01

Step 1. Define the theorem that can be used

Theorem 3-8 can be used which states that a parallel line to another line consist of a point that is positioned on outer area of another line.

02

Step 2. Relate the theorem using the provided information

The mentioned point in theorem according to the question is P and the another line is QR↔. Consider that the line on which P is positioned is QPR↔that is having a parallel relation with QR↔along with this the consideration of another line APB↔will result in formation of an angle that is from the intersection between the lines APB↔and QPR↔.

As the lines APB↔and QPR↔are having an intersection so the line APB↔cannot be parallel to the line QR↔.

03

Step 3. Make the conclusion

As the count of line parallel to QR↔is only one which results in that the required count is one.

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