Linear Pair
As mathematicians, we deal with all kinds of pairs. These include ordered pairs, collinear points, inverse numbers, and reciprocals. But what about linear pairs? What exactly is a linear pair, and why is this concept important in the field of mathematics? Let's find out:
What is a linear pair?
A linear pair is formed when two lines intersect, forming two adjacent angles. Here is a picture of ordered pairs:
As you can see, there are a number of ordered pairs in this picture. They include:
- ∠ 1 and ∠ 2
- ∠ 2 and ∠ 3
- ∠ 3 and ∠ 4
- ∠ 1 and ∠ 4
You might have also noticed that each of these pairs is supplementary, which means that their angles add up to exactly 180 degrees. This also means that linear pairs exist on straight lines.
You should always know that even though all linear pairs are adjacent angles, the same is not true in reverse: Not all adjacent angles are linear pairs.
Topics related to the Linear Pair
Flashcards covering the Linear Pair
Common Core: High School - Geometry Flashcards
Practice tests covering the Linear Pair
Common Core: High School - Geometry Diagnostic Tests
Intermediate Geometry Diagnostic Tests
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