Identifying Perpendicular Lines: Visual Geometry Analysis with 4 Examples

Question

Identify in which of the drawings the lines are perpendicular?

1234

Video Solution

Solution Steps

00:00 Which lines are perpendicular?
00:03 Perpendicular lines create a right angle at their intersection point
00:06 In this example, the lines form a right angle
00:13 In this example, the lines form an angle greater than 90
00:21 In this example, the lines form an angle greater than 90
00:29 In this example, the lines form a right angle
00:32 And this is the solution to the question

Step-by-Step Solution

Take note that perpendicular lines are lines that intersect at a 90-degree angle.

In order to better examine the types of angles that the lines create with one another, let's draw a T at the intersection point of the lines as follows:

1234

Notice that from the drawings, in answers 1+2 a right angle is formed, meaning the lines in these drawings are perpendicular.

Answer

1 and 2