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

Question

The shape in the figure below contains only right angles.

Are there 12 pairs of perpendicular lines?

Video Solution

Solution Steps

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 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.

Answer

Yes