Counting Perpendicular Line Pairs in a Pentagon Diagram

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

AAABBBCCCDDDEEE

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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

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1

Understand the problem

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

AAABBBCCCDDDEEE

2

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.

3

Final Answer

2

Practice Quiz

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What do the four figures below have in common?

1234

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