Chap
11
Pairs of Lines and
Transversal .
Some
Important facts:
1.
A line which intersects two or more
lines in a plane at distinct points is called a transversal to the given line.
2. Pairs
of lines which do not intersect on a plane are called parallel lines.
3. Distance
between two transversal lines is zero.
4. Distance
between two parallel lines is equal in each place and it is equal to
perpendicular distance between them.
5. If a
transversal line intersects two parallel lines in the same plane, then
(i)
Each pair of corresponding angles is equal.
(ii)
Each pair of alternate angles is equal.
(iii)
Interior angles on same sides of transversal
line are supplementary.
6. If a
transversal line intersects two non-parallel lines, then nothing is right as
above in (i), (ii) and (iii).
7. If a
transversal line intersects two lines, then that two lines will be parallel if
one condition from the following will be fulfilled.
(i)
One pair of corresponding angles is equal.
(ii)
One pair of alternate interior angles is
equal.
(iii)
One pair of angles on same side of
transversal line is equal.
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