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Draw two lines, and you always get
one of three relationships

Upper elementary · About 3 min read

The corners of a desk, a window frame, the horizontal and vertical lines on a road — every pair of lines around us is always either parallel, perpendicular, or just meeting.

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1Parallel means "never meeting"

If two lines never meet at any point, no matter how far you extend them, those lines are parallel. Since the gap between them stays exactly the same from start to finish, there's simply no way for them to meet.

2Perpendicular means "meeting at a right angle"

When the angle formed where two lines meet is exactly 90° (a right angle), the two lines are called perpendicular. Unlike parallel lines, perpendicular lines really do meet at a point — it's just that they meet in a perfectly square way.

Angle = 90° → Perpendicular

On the activity page, set the slider to exactly 90° and watch the shape formed by the two lines change dramatically.

3Any other case is just called "meeting"

If the angle isn't 90° and the lines aren't parallel, there's no special name for it — we just say "the two lines meet." Only two relationships between lines get a special name: parallel and perpendicular.

Parallelnever meets
Perpendicularmeets at 90°
Anything elsejust meets, no name
Parallel Perpendicular Other
Parallel lines never meet, perpendicular lines meet at 90°, and other lines meet at some other angle

4The only thing that matters is the "angle"

The only thing that decides the relationship between two lines is the angle where they meet. An angle of 0° (or 180°) means parallel, 90° means perpendicular, and anything in between is just "meeting."

Look for these around you.
The horizontal and vertical lines of a book, the rungs and side rails of a ladder, a traffic light pole and the road — they're all either parallel or perpendicular.

5Try playing like this