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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

Screenshot_1

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.

01

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

Screenshot_2

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