Identifying Perpendicular Lines: 90-Degree Angle Analysis

Which of these lines are perpendicular to each other?

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Step-by-step video solution

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00:03 Which of the lines are perpendicular?
00:07 Remember! Perpendicular lines meet to form a right angle, which is 90 degrees.
00:14 In this example, the lines create an angle that's greater than 90 degrees.
00:31 Here, the lines create an angle that's less than 90 degrees.
00:38 In this example, the lines meet at a perfect right angle, exactly 90 degrees!
00:47 Once again, the lines make an angle greater than 90 degrees.
00:52 And that's how we find the perpendicular lines. Great job!

Step-by-step written solution

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Understand the problem

Which of these lines are perpendicular to each other?

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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.

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Final Answer

Practice Quiz

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What do the four figures have in common?

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