Counting Perpendicular Line Pairs in a Pentagon Diagram

Question

Determine how many pairs of perpendicular lines are shown in the diagram?

AAABBBCCCDDDEEE

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

Perpendicular lines are lines that form a right angle of 90 degrees between them.

Our right angles are:

BAE,DEA BAE,DEA

The lines that form angle BAE are: BA+AE

The lines that form angle DEA are: DE+EA

Since in the drawing we have 2 angles of 90 degrees marked, we must have 2 pairs of perpendicular lines.

Answer

2