How can I determine the difference between ASA congruence and AAS?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.2: Corresponding Parts Of Congruent Triangles
Problem 45E
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How can I determine the difference between ASA congruence and AAS?
t Use.
Google
Class
Games
Guita
Geometry
0 202 0
Kuta
Software
L LC.
AIlrigh
4-4 ASA & AAS
Determine if the two triangles are congruent. I
1)
3)
Transcribed Image Text:t Use. Google Class Games Guita Geometry 0 202 0 Kuta Software L LC. AIlrigh 4-4 ASA & AAS Determine if the two triangles are congruent. I 1) 3)
Expert Solution
Step 1

If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This  is known as angle-side-angle (ASA).

Another  is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent .

 

Step 2

According to ASA congruence,

two triangles are congruent if they have an equal side contained between corresponding equal angles.

In other words, if two angles and an included side of one triangle are equal to the corresponding angles and the included side of the second triangle,

then the two triangles are called congruent, according to the ASA rule. 

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