Counting Perpendicular Line Pairs: Geometric Shape Analysis

Question

How many pairs of perpendicular lines are there in the diagram?

AAABBBCCCDDDEEEFFF

Video Solution

Solution Steps

00:00 How many perpendiculars are there in the drawing?
00:03 A perpendicular creates a right angle at the intersection point between the lines
00:07 Let's mark and count all the right angles
00:14 And this is the solution to the question

Step-by-Step Solution

Let's remember that perpendicular lines form a right angle of 90 degrees between them.

The right angles we have in the drawing are:

FAB,CDE FAB,CDE

The lines that create the angle FAB are: FA + AB

The lines that create the angle CDE are: CD + DE

Since we have 2 angles marked in the diagram, we therefore also have 2 pairs of perpendicular lines.

Answer

2