Parallel lines - Definition:
Two lines are said to be parallel, if they are in the same distance away at each point.
What is a transversal?
A line that crosses a pair of parallel lines on a slant is called as the transversal line. Totally eight angles are formed as the transversal line crosses the parallel lines. In the 8 angles, one can observe that 4 of them are quite large whereas remaining 4 of them are quite small.
A very important set of properties of these angles is that the angles which appear to be same really are exactly the same. Therefore,
1 = 3 = 5 = 7
2 = 4 = 6 = 8
1 + 2 = 2 + 3 = 3 + 4 = 5 + 6 = 180degrees ( Pairs of adjacent angles always sum up to 180 degrees)
The following are the properties of parallel lines that should be understood properly:
The above properties are very important for understanding and exploiting the properties of similar triangles.
The above properties work in both the ways. For example, all it takes to find 2 lines are parallel is to show that when a transversal is drawn, one of the corresponding angles formed will be equal.
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