SOLUTION: I need help with knowing when to use ASA,AAS, and SAS.Can you please help. I asked my teacher and still don't get it.

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Question 1020830: I need help with knowing when to use ASA,AAS, and SAS.Can you please help. I asked my teacher and still don't get it.

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
I need help with knowing when to use ASA,AAS, and SAS.Can you please help. I asked my teacher and still don't get it.
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You need first to know what are SAS, ASA and SSS.
They are three basic and independent tests for triangle congruency.

(by the way, AAS is the derivative of the ASA-test.)

Read these lessons in this site:
    - Congruence tests for triangles
    - Problems on congruence tests for triangles
    - Problems on congruence tests for triangles-2

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Comment from student: Thanks for your help. On the sheet I have it did say that there was
AAS (angle, angle,side), SSS(side,side,side), SAS(side,angle,side),ASA(angle,side,angle).
I just didn't know when to use them, but thanks for you help I understand better.
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My response: In addition to what I wrote above, look in this lesson PROPERTIES OF TRIANGLES.

This file is the list of my lessons on triangles.
Many lessons of this list contain concrete applications of the triangle congruency tests.

You can learn it directly from this list.


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

I need help with knowing when to use ASA,AAS, and SAS.Can you please help. I asked my teacher and still don't get it. 
There are 5 proof-methods when proving triangles congruent. These are:

AAS - Two triangles can be proven congruent if 2 consecutive angles, followed by a side, on one, can be proven congruent to 2

      consecutive angles, followed by a side, on the other  

ASA - Congruence can be proven if congruent sides are located between 2 congruent angles on both

SSS - Self-explanatory, or when 3 sides of one triangle are proven congruent to 3 sides of the other triangle

SAS - Congruence can be proven if 2 congruent angles are located between 2 congruent sides on each triangle

HL -  Two triangles are congruent if they are right triangles and one triangle's hypotenuse, and one of its leg is proven to be

      congruent to the other triangle's hypotenuse, and corresponding leg



YOU CANNOT CURSE, or THERE is NO DONKEY method. Look this up, and you'll know what I'm referring to!!



I'm sure that there are MANY sites with info. on methods to prove triangles congruent.  

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