Counting Perpendicular Lines: Analyzing 12 Possible Line Pairs in a Geometric Figure

The shape in the figure below contains only right angles.

Are there 12 pairs of perpendicular lines?

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Step-by-step video solution

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00:00 Are there 12 perpendicular lines in the drawing?
00:04 A perpendicular creates a right angle at the intersection point between the lines
00:07 Let's mark and count all the right angles to find the perpendicular lines
00:23 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

The shape in the figure below contains only right angles.

Are there 12 pairs of perpendicular lines?

2

Step-by-step solution

Remember that perpendicular lines form a 90-degree angle.

We will mark on the figure all the right angles formed by the intersections of the lines as follows:

The figure shows that there are 12 right angles, therefore there are 12 pairs of perpendicular lines.

3

Final Answer

Yes

Practice Quiz

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What do the four figures below have in common?

1234

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