6th Maths Geometry: Understanding Parallel and Intersecting Lines

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Two lines

6th Maths : Term 1 Unit 4 : Geometry

Two lines

Now let us get back to two lines (Fig. 4.2). Lines that go on forever on either side without meeting each other (i.e. they have a constant distance in between) are called parallel lines.

Parallel Lines Diagram

Thus, parallel lines go forever without meeting.

What will happen if two lines are not parallel?

Then they must meet somewhere! Of course, they go their way after meeting too.

Intersecting Lines Diagram

Here, l1 and l2 are called intersecting lines.

Of course, we now have parallel line segments and intersecting line segments too.

Line Segments Diagram

The position ‘O’ at which the line segments Line Segment AB and Line Segment CD meet is called their point of intersection.

Activity

Take a piece of paper and fold in as many ways as you can, always generating parallel lines, or always generating intersecting lines.

A few examples are shown for you.

Paper Folding Activity
Note

A line has no end points, whereas a line segment has end points. We can measure the length of a line segment.

Line vs Line Segment