Geometric Pattern Analysis: Identifying Common Properties in Four Line Configurations

Question

What do the four figures have in common?

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Video Solution

Solution Steps

00:00 What is common to all the drawings?
00:03 A perpendicular creates a right angle at the intersection point between the lines
00:06 In all examples, the lines form a right angle
00:09 Therefore they are all perpendicular
00:13 And this is the solution to the question

Step-by-Step Solution

Let's remember that perpendicular lines are lines that form a 90-degree angle with each other.

Parallel lines are lines that will never intersect and do not form any angle between them.

In order to examine the types of angles that lines form with each other, we will draw a T at the intersection point of the lines in the following way:

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Note that from the drawings we can see that what they all have in common is the right angle, which means that all the lines are perpendicular.

Answer

All show perpendicular lines.