Triangle congruence asa and aas

Congruent Triangles

triangle congruence asa and aas

ASA and AAS Triangle Congruence: Lesson (Geometry Concepts)

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We've just studied two postulates that will help us prove congruence between triangles. However, these postulates were quite reliant on the use of congruent sides. In this section, we will get introduced to two postulates that involve the angles of triangles much more than the SSS Postulate and the SAS Postulate did. Understanding these four postulates and being able to apply them in the correct situations will help us tremendously as we continue our study of geometry. Let's take a look at our next postulate.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math High school geometry Congruence Triangle congruence. Determining congruent triangles. Practice: Determine congruent triangles. Triangle congruence review. Next lesson.

The good news is that when proving triangles congruent, it is not necessary to prove all six facts to show congruency.
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Up until now, sides have been hogging the spotlight they're really hammy. If we give angles the floor for a bit, maybe they'll make some interesting discoveries for us. Imagine pointing a laser off of each end at the desired angle. There's only one point where these laser lines will intersect. In other words, specifying two angles and the length of the line segment between them can give us only one triangle. That means we can determine whether two triangles are congruent by knowing two angles and the included side. Let's take a look at what we have.

But we don't have to know all three sides and all three angles SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent. ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

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Triangle congruence postulates/criteria

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How To Find if Triangles are Congruent

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Start studying Triangle Congruence: ASA and AAS. Learn vocabulary, terms, and more with flashcards, games, and other study tools.
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