Identifying Perpendicular Lines: 90-Degree Angle Analysis

Question

Which of these lines are perpendicular to each other?

Video Solution

Solution Steps

00:00 Which of the lines are perpendicular?
00:03 Perpendicular lines form a right angle at their intersection point
00:11 In this example, the lines form an angle greater than 90
00:28 In this example, the lines form an angle less than 90
00:35 In this example, the lines form a right angle
00:44 In this example, the lines form an angle greater than 90
00:48 And this is the solution to the question

Step-by-Step Solution

Let's remember that perpendicular lines form a 90-degree angle.

In each of the answers, we will draw the letter T at the intersection point of the lines.

Let's examine figure A:

We notice that the lines do not form a right angle and therefore are not perpendicular.

Let's examine figure B:

We notice that the lines do not form a right angle and therefore are not perpendicular.

Let's examine figure C:

We notice that the lines do not form a right angle and therefore are not perpendicular.

Let's examine figure D:

We notice that the lines do form a right angle therefore are perpendicular lines.

Answer