#PARALLEL LINES DEFINITION PDF#

The two lines that do not meet or intersect at any point and always stay at a distance is called parallel lines. Corresponding angles, alternate interior angles, and vertically opposite angles of the parallel lines are equal. If a transversal intersects two parallel lines, then each pair of alternate interior angles is equal. Transversal is defined as the lines that intersect two or more lines at a distant point. It is important to note that if two lines intersect each other, then the vertically opposite angles are equal. Parallel lines are defined as the two lines that do not meet at a point in a plane surface. (iv) the vertically opposite angles: ∠1 and ∠3, ∠2 and ∠4, ∠5 and ∠7, ∠6 and ∠8Īlso, Check: CBSE Class 7 English SyllabusĪttempt 11th CBSE Exam Mock Tests Summary (iii) the pairs of interior angles on the same side of the transversal: ∠2 and ∠5, ∠3 and ∠8 (ii) the pairs of alternate interior angles: ∠2 and ∠8, ∠3 and ∠5 (i) the pairs of corresponding angles: ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8 Some of the solved examples of parallel lines are given below:Įxample 1: In the given figures below, decide whether ? is parallel to ?.

#PARALLEL LINES DEFINITION PDF#

If a transversal intersects two lines such that a pair of interior angles on the same side of the transversal is supplementary, then the two lines are parallel.ĭownload NCERT Solutions for Class 7 Maths Chapter 5 PDF.If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary.If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.If a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.If two lines intersect each other, then the vertically opposite angles are equal.The theorems of parallel lines are as follows: Lines that are parallel at a given point are parallel to each other.Vertically opposite angles of the parallel lines are equal.Alternate interior angles of the parallel lines are equal.Corresponding angles of the parallel lines are equal.Some of the properties of parallel lines are mentioned below: Learn 11th CBSE Exam Concepts Properties of Parallel Lines Interior angles on the same side of the transversal: (i) ∠ 4 and ∠ 5 (ii) ∠ 3 and ∠ 6.Alternate exterior angles: (i) ∠ 1 and ∠ 7 (ii) ∠ 2 and ∠ 8.Alternate interior angles: (i) ∠ 4 and ∠ 6 (ii) ∠ 3 and ∠ 5.Corresponding angles: (i) ∠ 1 and ∠ 5 (ii) ∠ 2 and ∠ 6 (iii) ∠ 4 and ∠ 8 (iv) ∠ 3 and ∠ 7.Some of the angles formed when the transversal line intersects the two lines are as follows: ∠ 1, ∠ 2, ∠ 7 and ∠ 8 are exterior angles whereas, ∠ 3, ∠ 4, ∠ 5 and ∠ 6 are interior angles. You can see there is the formation of four angles at point P and Q. L is a transversal line intersecting m and n at a point P and Q.

Parallel lines definition