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Excuse me, but two triangles that have A-A-S of one equal respectively to A-A-S

of the other are not necessarily congruent. I would love to see that proof!

Q: What theorem is used to prove the AAS triangle congruence theorem?

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Pythagoras' theorem can be used for right-angled triangles. Using the theorem, you are able to calculate what the length of one side of a triangle is.

Right triangle ( triangle in which one angle is 90 degrees)

triangle sum theorem

The Pythagorean theorem is used to find the length of a side of a right triangle knowing the length of the other two side.

yes

Related questions

SAS

The first thing you prove about congruent triangles are triangles that have same side lines (SSS) is congruent. (some people DEFINE congruent that way). You just need to show AAS is equivalent or implies SSS and you are done. That's the first theorem I thought of, don't know if it works though, not a geometry major.

Well, this will depend on the length of the sides of the triangle for what postulate or theorem you will be using.

Yes, the corollary to one theorem can be used to prove another theorem.

BAD = BCD is the answer i just did it

A segment need not be a bisector. No theorem can be used to prove something that may not be true!

AAS: If Two angles and a side opposite to one of these sides is congruent to thecorresponding angles and corresponding side, then the triangles are congruent.How Do I know? Taking Geometry right now. :)

Pythagoras's Theorem is used to determine if a triangle is a right triangle or not.

Pythagorean theorem

Pythagoras' theorem

We cannot determine without seeing the data for PRS & QRS. My guess though would be ASA Though it could also be SSS

SSS