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Properties of parallel lines<br />
Meaning of Parallel lines:<br />
These are lines in one plane which do not meet and they have the property that they are<br />
everywhere the same distance apart.<br />
N<br />
Y<br />
B<br />
x<br />
A<br />
y<br />
X<br />
In the figure above, AX and BY are parallel lines. The line NBA cutting the parallel lines<br />
at A and B is called a transversal. Angles NBY, BAX are called corresponding angles.<br />
The angles x and y are called alternate angles.<br />
- corresponding angles are equal.<br />
- Alternate angles are equal.<br />
Interior angles<br />
The figure below shows a pair of shaded angles on the same side of a transversal and<br />
lying between the parallel lines. This is a pair of interior angles. These interior angles<br />
are supplementary angles.<br />
Example<br />
1. Find angles s and t in the diagram.