PARALLEL LINES

PARALLEL LINES

1. If two lines in a plane do not intersect each other, they are called Parallel Lines.

2. Examples 1.Railway tracks 2.Opposite edges of the textbook

3. Feature 1:- Lines, parallel to a given line in a plane, are parallel to each other.

4. Feature 2:- The distance between parallel lines does not change, it is same every where.

5. Feature 3:- Two lines in the same plane perpendicular to a given line are parallel to each other.

6. Feature 4:- A line segment can be divided internally in a given ratio by constructing parallel lines.

7. Alternate Angles:- 1. Alternate angles are the pair of angles, which are formed when the coplanar lines are cut by a transversal. 2. There are two different types of alternate angles- alternate interior angles and alternate exterior angles.

8. Corresponding Angles:- 1. Corresponding angles are angles that are formed on the same side of the transversal when two parallel lines are intersected by the transversal. 2. If corresponding angles are equal then the two lines are parallel to each other.

9. Co-interior Angles:- 1. Co-interior angles are the pair of non-adjacent interior angles that lie on the same side of the transversal. 2. On parallel lines, co-interior angles add up to 180 degree.

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