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Math for Kids23 chapters | 325 lessons

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Lesson Transcript

Instructor:
*Mark Boster*

In this lesson, you'll learn about a special kind of a line called an oblique line and how it differs from other types of lines. You'll also find out what oblique lines have to do with the Leaning Tower of Pisa!

Have you ever heard of the Leaning Tower of Pisa? It is a tower in Pisa, Italy, that was built hundreds of years ago. Over the years it began to lean. If people built that tower today, they might call it the Oblique Tower of Pisa. Why? Because it's oblique.

When there are any two lines on the same **plane**, which is a mathematical word for surface, there are only three ways they can be related: parallel, perpendicular or oblique. Remember that a line goes in both directions forever. In order to understand what an oblique line is, you have to know what it is not.

The first way two lines on the same plane can relate to each other is by being **parallel**: that means that the two lines will never cross. They are also the same distance from each other, like the rails on railroad tracks. This is pretty easy to remember since all the letter Ls in the word 'parallel' are parallel! Remember, parallel lines never meet. They don't have to be drawn next to each other either. Don't let the purple ones in this diagram fool you.

The next way two lines on the same plane can relate to each other is by being perpendicular. **Perpendicular lines** meet each other at 90°, or a right angle. On diagrams in math, a right angle will usually have a little box in the corner. But remember, the lines don't necessarily have to cross in a diagram because lines go on forever in both directions. So they might cross somewhere else on or off the page. See the orange lines on this image? They're perpendicular because they will cross at 90° later on.

There's a third way that two lines on the same plane can meet, and that is when they are **oblique**, which means tilted or slanted. Lines that are not parallel or perpendicular on the same plane are oblique. Yes, now you see! The Oblique Tower of Pisa!

On the picture of the Leaning Tower of Pisa, the top black line and the bottom black line are parallel. The lines going through the tower and across the ground are perpendicular. The tower is neither of those. That makes it oblique!

To review, **oblique lines** are neither parallel nor perpendicular to each other. **Parallel lines** never touch, just like the Ls in the word 'parallel.' **Perpendicular lines** are lines that meet at a right angle.

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4 in chapter 22 of the course:

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Math for Kids23 chapters | 325 lessons

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