Parallel Lines
What are Parallel Lines?
Non-intersecting straight lines, which do not meet when produced however far on either side, are called ‘parallel’.
![parallel lines](https://www.etutorworld.com/wp-content/uploads/2018/10/parallel-300x122-300x122.jpg)
The distance between the parallel lines AB and CD is the length of the perpendicular PQ from P (any point in AB) to CD.
![parallel lines](https://www.etutorworld.com/wp-content/uploads/2018/10/parallel1-300x142-300x142.jpg)
The distance between any two parallel lines will always remain the same. A line is parallel to itself. Through a given point, only one straight line can be drawn parallel to another straight line.
A ‘transversal’ is a straight line which cuts two or more straight lines.
![parallel lines](jpg/parallel3-300x230-300x230.jpg)
The pair of angles 1 and 5, 2 and 6, 3 and 7, 4 and 8 are called ‘corresponding angles’.
The pair of angles 3 and 5, 4 and 6 are called ‘alternate angles’.
Example: Find the value of x.
![parallel lines](https://www.etutorworld.com/wp-content/uploads/2018/10/parallel4-300x239-300x239.jpg)
10x + 5 = 65° (corresponding angles)
10x + 5 – 5 = 65° – 5
10x = 60°
=
=> x = 6
CHECK POINT
- What is the measure of the indicated angle?
![parallel lines](https://www.etutorworld.com/wp-content/uploads/2018/10/parallel5-300x236-300x236.jpg)
2. Solve for x:
![parallel lines](https://www.etutorworld.com/wp-content/uploads/2018/10/parallel6-300x268-300x268.jpg)
True or False:
When a transversal cuts two parallel lines, then the pairs of corresponding angles so formed are equal. __________
1. Solve for x:
2. Find the value of x:
Answer key
- 78°
- 9
- True
- 6
- 8
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