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# Parallel Straight Line

Parallel Straight Line:

Definition: Lying in the same plane , two straight lines which do not meet are called parallel lines.

Some Corollary for parallel straight line:

1.When a transversal cuts two parallel straight lines, the corresponding angles are Equal.

2.When a transversal cuts two parallel straight lines, the alternate angles are equal.

3.When a transversal cuts two parallel straight lines, that pair of interior angles on

the same side of the transversal are supplementary,

4.When a transversal cuts two lines, such that the pairs of corresponding angles are equal, then the lines have to be parallel.

5.When a transversal cuts two lines, such that the pairs of alternate interior angles are equal, the lines have to be parallel.

6.When a transversal cuts two lines, such that the pairs of interior angles on the same side of the transversal are supplementary, the lines have to be parallel

Here AB||CD and EF transversal. 3 and 6 , 4 and 5 are alternate angles to each other.

1 and 5, 3 and 7, 2 and 6, 4 and 8 are corresponding angles to each other.

Definition : If the corresponding angles made by a transversal are equal, the two  straight lines are parallel.

In the figure ∠PQR = 550 ,∠LRN = 900 and PQ ll MR. Which one of the following is the value of ∠ MRN ?

1. 350 b. 450 c. 550                       d. 900

## If two triangles have the three sides of the one equal to the three sides of the other, each to each, then they are equal in all respects.

If two triangles have the three sides of the one equal to the three sides ...