Summary

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References

**Intersecting lines**

Two lines having only one point in common are called intersecting lines

**Parallel lines**

Two lines drawn in a plane are parallel if they do not intersect even when they are produced. Distance between the parallel lines is the same.

**Transversal**

A line that intersects two or more lines, at different points is called a transversal.

When a transversal intersects two lines, m and n, eight angles are formed, four angles at each point, P and Q respectively. These angles are identified by their positions.

â€¢ âˆ 1, âˆ 2, âˆ 7 and âˆ 8 are called exterior angles

â€¢ âˆ 3, âˆ 4, âˆ 5 and âˆ 6 are called interior angles

â€¢ âˆ 1 and âˆ 5, âˆ 2 and âˆ 6, âˆ 4 and âˆ 8, âˆ 3 and âˆ 7 are pairs of corresponding angles

â€¢ âˆ 1 and âˆ 7, âˆ 2 and âˆ 8 are pairs of alternate exterior angles

â€¢ âˆ 4 and âˆ 6, âˆ 3 and âˆ 5 are pairs of alternate interior angles

â€¢ âˆ 4 and âˆ 5, âˆ 3 and âˆ 6 are consecutive interior angles on the same side of the transversal

â€¢ each pair of corresponding angles is equal.

â€¢ each pair of alternate interior angles is equal.

â€¢ each pair of interior angles on the same side of the transversal is supplementary

Two lines intersected by a transversal are parallel if, either

â€¢ any one pair of corresponding angles is equal, or

â€¢ any one pair of alternate interior angles is equal, or

â€¢ any one pair of interior angles on the same side of the transversal is supplementary

Lines which are parallel to the same line are parallel to each other.

The sum of three angles of a triangle is 180Â°.

If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.

**Intersecting lines**

Two lines having only one point in common are called intersecting lines

**Parallel lines**

Two lines drawn in a plane are parallel if they do not intersect even when they are produced. Distance between the parallel lines is the same.

**Transversal**

A line that intersects two or more lines, at different points is called a transversal.

When a transversal intersects two lines, m and n, eight angles are formed, four angles at each point, P and Q respectively. These angles are identified by their positions.

â€¢ âˆ 1, âˆ 2, âˆ 7 and âˆ 8 are called exterior angles

â€¢ âˆ 3, âˆ 4, âˆ 5 and âˆ 6 are called interior angles

â€¢ âˆ 1 and âˆ 5, âˆ 2 and âˆ 6, âˆ 4 and âˆ 8, âˆ 3 and âˆ 7 are pairs of corresponding angles

â€¢ âˆ 1 and âˆ 7, âˆ 2 and âˆ 8 are pairs of alternate exterior angles

â€¢ âˆ 4 and âˆ 6, âˆ 3 and âˆ 5 are pairs of alternate interior angles

â€¢ âˆ 4 and âˆ 5, âˆ 3 and âˆ 6 are consecutive interior angles on the same side of the transversal

â€¢ each pair of corresponding angles is equal.

â€¢ each pair of alternate interior angles is equal.

â€¢ each pair of interior angles on the same side of the transversal is supplementary

Two lines intersected by a transversal are parallel if, either

â€¢ any one pair of corresponding angles is equal, or

â€¢ any one pair of alternate interior angles is equal, or

â€¢ any one pair of interior angles on the same side of the transversal is supplementary

Lines which are parallel to the same line are parallel to each other.

The sum of three angles of a triangle is 180Â°.

If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.