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It is a congruence theorem. There are several of them and they are not all numbered the same way.

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Q: What states that if the sides of one triangle are congruent to the sides of a second triangle then the triangles are congruent?
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What is the angle-angle-side rule?

Side-Angle-Side is a rule used in geometry to prove triangles congruent. The rule states that if two sides and the included angle are congruent to two sides and the included angle of a second triangle, the two triangles are congruent. An included angle is an angle created by two sides of a triangle.


What is SSS mean in comparing triangles?

Side Side Side when comparing two triangles the side side side postulate states that if three sides from one triangle are congruent to three sides on another triangle the triangles are conguent


What is the congruence throemand postulate of asa?

I assume "throemand" is your fail at spelling "theorem and".The theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.


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.


What is Side-Side-Side postulate?

The Side-Side-Side (SSS) postulate states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent. In other words, if the lengths of the three sides of one triangle are equal to the lengths of the corresponding three sides of another triangle, then the two triangles are congruent.

Related questions

The SSS Postulate states that if the sides of one triangle are congruent to the sides of a second triangle then the triangles are congruent?

Yes, it does.


What is the angle-angle-side rule?

Side-Angle-Side is a rule used in geometry to prove triangles congruent. The rule states that if two sides and the included angle are congruent to two sides and the included angle of a second triangle, the two triangles are congruent. An included angle is an angle created by two sides of a triangle.


What is SSS used for in geometry?

SSS is a postulate used in proving that two triangles are congruent. It is also known as the "Side-Side-Side" Triangle Congruence Postulate. It states that if all 3 sides of a triangle are congruent to another triangles 3 sides, then both triangles are congruent.


What is AA similarity theorem?

The AA similarity theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This theorem is based on the Angle-Angle (AA) postulate, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.


What is the SAS postulate?

The SAS Postulate states if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.


What is SSS mean in comparing triangles?

Side Side Side when comparing two triangles the side side side postulate states that if three sides from one triangle are congruent to three sides on another triangle the triangles are conguent


What is the hypotenuse angle theorem?

The hypotenuse angle theorem, also known as the HA theorem, states that 'if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.'


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.


What is asa postulate?

The Angle Side Angle postulate( ASA) states that if two angles and the included angle of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.


What is the congruence throemand postulate of asa?

I assume "throemand" is your fail at spelling "theorem and".The theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.


Why is there an AA similarity postulate but not an AA congruence postulate?

The AA similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. However, the AA congruence postulate is not needed because knowing two angles of one triangle are congruent to two angles of another triangle doesn't guarantee that the triangles are congruent, as the side lengths can still be different.


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.