RHS congruency, or, right angle, hypotenuse and corresponding side.
The Side-Angle-Side (SAS) Congruence Postulate verifies the congruence of triangles by stating that if two sides of one triangle are equal to two sides of another triangle, and the included angle between those sides is also equal, then the two triangles are congruent. Other congruence criteria include the Side-Side-Side (SSS) theorem, which asserts that if all three sides of one triangle are equal to the corresponding sides of another triangle, the triangles are congruent. Additionally, the Angle-Side-Angle (ASA) theorem and the Angle-Angle-Side (AAS) theorem also establish triangle congruence based on angles and sides.
true
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.
That's not a postulate. It's a theorem. And you have stated it.
RHS congruency, or, right angle, hypotenuse and corresponding side.
The Side-Angle-Side (SAS) Congruence Postulate verifies the congruence of triangles by stating that if two sides of one triangle are equal to two sides of another triangle, and the included angle between those sides is also equal, then the two triangles are congruent. Other congruence criteria include the Side-Side-Side (SSS) theorem, which asserts that if all three sides of one triangle are equal to the corresponding sides of another triangle, the triangles are congruent. Additionally, the Angle-Side-Angle (ASA) theorem and the Angle-Angle-Side (AAS) theorem also establish triangle congruence based on angles and sides.
The correct answer is the AAS theorem
true
HL congruence theorem
sssThere are five methods for proving the congruence of triangles. In SSS, you prove that all three sides of two triangles are congruent to each other. In SAS, if two sides of the triangles and the angle between them are congruent, then the triangles are congruent. In ASA, if two angles of the triangles and the side between them are congruent, then the triangles are congruent. In AAS, if two angles and one of the non-included sides of two triangles are congruent, then the triangles are congruent. In HL, which only applies to right triangles, if the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent.
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.
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.
That's not a postulate. It's a theorem. And you have stated it.
Pythagorean theorem
The correct answer is the AAS theorem
First of all, it's a theorem, not a postulate. It says: Two triangles are congruent if they have two angles and the included side of one equal respectively to two angles and the included side of the other.