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sss
There 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.
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What is SAS Congruence Theorem?
The side-angle-side congruence theorem states that if you know that the lengths of two sides of two triangles are congruent and also that the angle between those sides has the same measure in both triangles, then the two triangles are congruent.
What is side angle side theorem?
It is a congruence theorem for triangles. It states that if you have two triangles in which two sides of one are congruent to two sides of the other, and the angles included by the sides are equal, then the triangles are congruent.
What is LL Congruence Theorem?
LL Congruence theorem says: If the two legs of one right triangle are congruent to the two legs of another right triangle, then the two right triangles are congruent.
What is LA Congruence Theorem?
LA Congruence Theorem says: If one leg and an acute angle of one right triangle are congruent to one leg and an acute angle of another right triangle, then the two right triangles are congruent.
The LL theorem states that for two triangles two congruent legs are sufficient to prove congruence of the triangles?
You left out one very important detail . . . the statement is true for a RIGHT triangle.
