Dr. Mark. A. Boster received his doctorate in Educational Leadership from Liberty University and conducted his research in gender roles in award-winning children’s books. He has over 24 years of experience in education at Columbus City Schools holding roles such as curriculum coordinator and classroom teacher.
What Are Congruent Angles?
Say you're playing baseball and you hit a ball far into left field. You run to first base then to second, then to third base. What if, when rounding second base on your way to third, you don't turn enough and end up in the field? What if you turn too much and run into the pitcher? Neither of these would be good! So, to avoid running in the wrong direction, you need to turn second base at an angle that's roughly congruent, or the same as, the turn you made at first base.
In math, we say that two angles are congruent angles when they are exactly the same number of degrees--they are open the exact same amount. They can point in completely different directions or be part of completely different-sized shapes--the degrees of the angle just have to be the same. The symbols > and < have congruent angles, and all the 90-degree angles in H, I, and L are congruent.
How to Tell if Angles are Congruent
There are a few ways to see if two angles are congruent. The best way is to measure them with a protractor.
However, if you don't have a protractor on hand, you might fold a piece of paper so that it fits exactly into one angle and then see if it also fits exactly into the other angle, as well. If it does, the angles are congruent.
Another way to find if two angles are congruent is to trace the angle on a piece of translucent paper, then lay the sheet on top of the other to see if the angles match up. You could even cut the angles out of the piece of paper to compare them. However, keep in mind that any method besides a protractor leaves room for error.
Now, try comparing angles on your own! Find some angles around your home and use a protractor to find angles that are congruent.
'Congruent' means 'the same,' so congruent angles are angles that are exactly the same degrees. It doesn't matter how big or small the shape is, or which way the angle faces. There are quite a few ways to determine if two angles are congruent, but the best is with a protractor.
To unlock this lesson you must be a Study.com Member.
Create your account
Register to view this lesson
Unlock Your Education
See for yourself why 30 million people use Study.com
Become a Study.com member and start learning now.Become a Member
Already a member? Log InBack