Question

Name the intersecting pairs of lines and points of intersection in the given figure

Answer 1

Hint: A pair of lines, line segments or rays are intersecting if they have a common point. This common point is their point of intersection. For example, two adjacent sides of a sheet of paper, a ruler, a door, a window and letters. A line intersects two or more lines at distinct points is called a transversal.

Complete step-by-step answer:

In the given figure, line ‘l’ and line ‘p’ intersects at point ‘A’ and line ‘l’ and line ‘q’ intersects at point B.
So we have two pairs of intersecting lines; (l,p) and (l,q).
And we have two points of intersection named as ‘A’ and ‘B.
Note: If a transversal intersects two parallel lines then we define so many types of angles:

In figure, line l intersects lines p and q.
observe that four angles are formed at each of the points A and B. Let us name these angles ∠ 1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8, as shown in the figure.
∠1, ∠2, ∠7 and ∠8 are called exterior angles, while ∠3, ∠4, ∠5 and ∠6 are called interior angles.
We have named some parts of angles formed when a transversal intersects two lines. These are as follows:
(a).Corresponding angles
 (i) ∠1 and ∠5 (ii) ∠2 and ∠6
(iii) ∠4 and ∠8 (iv) ∠3 and ∠7
(b) Alternate exterior angles
(i) ∠1 and ∠7 (ii) ∠ 2 and ∠8
(c) Alternate interior angles
(i) ∠4 and ∠6 (ii) ∠3 and ∠5
(d)interior angles on the same side of the transversal
(i) ∠4 and ∠5 (ii) ∠3 and ∠6