Geometry Problem: Which Lines Form Right Angles?

Question

Which of the lines are perpendicular to each other?

Video Solution

Solution Steps

00:00 Which of the lines are perpendicular?
00:03 Perpendicular lines create a right angle at their intersection point
00:08 In this example, the lines create an angle smaller than 90
00:13 In this example, the lines create a right angle
00:20 In this example, the lines create an angle smaller than 90
00:28 And this is the solution to the question

Step-by-Step Solution

Let's remember that perpendicular lines are lines that form a right angle of 90 degrees between them.

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

Let's examine figure A:

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

Let's examine figure B:

The lines do indeed form a 90-degree angle and are therefore perpendicular.

Let's examine figure C:

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

Answer