Alternate Interior Angles Definitions and Examples
Introduction
Angles are one of the most basic concepts in geometry, but there are still many different types that you may not be familiar with. In this blog post, we will be introducing and exploring alternate interior angles. Alternate interior angles are a type of angle that is formed when two lines intersect. This type of angle is adjacent to another angle, but on the opposite side of the line of intersection. Keep reading to see some examples of alternate interior angles and learn how to calculate them yourself!
Alternate Interior Angles
There are many pairs of angles in a geometric shape. Some angles share a side or a vertex, while others don’t. When two angles share a side and have the same vertex, we call them alternate interior angles.
Alternate interior angles are congruent if and only if the line that they’re on is parallel to the line that contains the other angle in the pair.
It’s important to remember that alternate interior angles are just one type of angle pair. There are also corresponding angles, vertical angles, and exterior angles. You can learn more about these different types of angle pairs by reading our article on angle relationships.
What are Alternate Interior Angles?
When two lines intersect, they form four angles. The angles opposite each other are called “alternate interior angles.” Alternate interior angles are congruent (the same size) if the lines being compared are parallel.
Converse of the Alternate Interior Angles Theorem
If two lines are parallel, then the alternate interior angles are congruent.
How to Find the Alternate Interior Angles?
To find the alternate interior angles, first identify the line that is parallel to the given line. This line will intersect the given line at two points, forming four angles. The alternate interior angles are the two angles that are on opposite sides of the line and between the parallel lines. These angles are not adjacent, meaning they do not share a vertex or side.
Alternate Interior Angles Examples
alternate interior angles are the angles on the inside of a transversal, but on opposite sides of the line. Alternate Interior angles are not adjacent because there is another angle between them. Alternate Interior angles are congruent if the lines being cut are parallel.
FAQs on Alternate Interior Angles
What is an alternate interior angle?
An alternate interior angle is an angle located inside a pair of parallel lines, on opposite sides of a transversal. Alternate angles are congruent (equal in measure).
What is the difference between alternate angles and corresponding angles?
Corresponding angles are angles that are located in the same position with respect to the parallel lines and transversal. Alternate angles are located on opposite sides of the transversal.
Conclusion
We hope this article has helped you understand what alternate interior angles are and given you some examples to help you visualize them. If you’re still having trouble, try drawing your own diagram to see if that helps. Remember, alternate interior angles are created when two lines cross and the angle formed is on the inside of the lines. So long as you can remember that, you should be able to spot them when they appear in geometry problems.
