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What is a AAS triangle?

Updated: 10/19/2022
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AAS stands for Angle Angle and Side

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Q: What is a AAS triangle?
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If two angles and a non included side of one triangle are congruent to be corresponding two angles and side of another then triangles are congruent?

Yes, they are.


The aas congruence theorm works for acute right and obtuse triangles?

Yes, it works for all triangles as long as the two angles and the side are identified with corresponding ones in each triangle.


What are the five triangle congruency theorems?

SSS, SAS, ASA, AAS, RHS. SSA can prove congruence if the angle in question is obtuse (if it's 90 degrees, then it's exactly equivalent to RHS).


What does AAS sand for in maths?

It means "angle angle side". It usually refers to a triangle. You are given two angles and a side and must use that information to figure out the values of the other angle, and the other two sides.


What are four ways you can prove two right triangles are congruent?

1. The side angle side theorem, when used for right triangles is often called the leg leg theorem. it says if two legs of a right triangle are congruent to two legs of another right triangle, then the triangles are congruent. Now if you want to think of it as SAS, just remember both angles are right angles so you need only look at the legs.2. The next is the The Leg-Acute Angle Theorem which states if a leg and an acute angle of one right triangle are congruent to the corresponding parts of another right triangle, the two right triangles are congruent. This is the same as angle side angle for a general triangle. Just use the right angle as one of the angles, the leg and then the acute angle.3. The Hypotenuse-Acute Angle Theorem is the third way to prove 2 right triangles are congruent. This one is equivalent to AAS or angle angle side. This theorem says if the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, the two triangles are congruent. This is the same as AAS again since you can use the right angle as the second angle in AAS.4. Last, but not least is Hypotenuse-Leg Postulate. Since it is NOT based on any other rules, this is a postulate and not a theorem. HL says if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

Related questions

What else would need to be congruent to show that triangle ABC equals triangle XYZ by aas?

Nicki Minaj


What else would need to be congruent to show that jkl mno by aas?

AAS is equal to angle-angle-side, and is descriptive of a triangle. JKL and MNO would be the sides and angles of a triangle. The two sides must be congruent to the opposite angle.


What are the 2 triangle congruence theorems?

The two triangle congruence theorems are the AAS(Angle-Angle-Side) and HL(Hypotenuse-Leg) congruence theorems. The AAS congruence theorem states that if two angles and a nonincluded side in one triangle are congruent to two angles and a nonincluded side in another triangle, the two triangles are congruent. In the HL congruence theorem, if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the two triangles are congruent.


How does the ASA congruence theorem differ form the AAS congruence theorem?

ASA or Angle Side Angle differs from the AAS in that the order of the sides or angles are stated is the same as they are labeled on a triangle. Just because the letters are shifted doesn't make them different. There are three angles on a triangle and there are only two stated so the two stated cannot be assigned to angles with a side in between them for AAS, or a side at either side for ASA.


What is the definition of AAS Congruence postulate of trianges?

It is a theorem, not a postulate, since it is possible to prove it. If two angles and a side of one triangle are congruent to the corresponding angles and side of another triangle then the two triangles are congruent.


If two angles and a non included side of one triangle are congruent to be corresponding two angles and side of another then triangles are congruent?

Yes, they are.


When did Karl Aas die?

Karl Aas died in 1943.


When was Karl Aas born?

Karl Aas was born in 1899.


When did Ulf Aas die?

Ulf Aas died in 2011.


When was Ulf Aas born?

Ulf Aas was born in 1919.


When did Rolf Aas die?

Rolf Aas died in 1946.


When was Rolf Aas born?

Rolf Aas was born in 1891.