Counting Perpendicular Lines: Identifying Right Angle Pairs in a Geometric Diagram

How many pairs of perpendicular lines are shown in the diagram below?

AAABBBCCCDDDEEEFFF

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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
00:08 Let's mark and count all the right angles
00:17 And this is the solution to the question

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1

Understand the problem

How many pairs of perpendicular lines are shown in the diagram below?

AAABBBCCCDDDEEEFFF

2

Step-by-step solution

Let's remember that perpendicular lines are lines that intersect at a right angle of 90 degrees.

Our right angles are:

ABC,BCD,CDE,DEF,EFA,FAB ABC,BCD,CDE,DEF,EFA,FAB

The lines that form angle ABC are: AB+BC

The lines that form angle BCD are: BC+CD

The lines that form angle CDE are: CD+DE

The lines that form angle DEF are: DE+EF

The lines that form angle EFA are: EF+FA

The lines that form angle FAB are: FA+AB

Since in the drawing we have 6 angles of 90 degrees marked, we must have 6 pairs of perpendicular lines.

3

Final Answer

6

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What do the four figures below have in common?

1234

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