inal answer:
SSS and SAS are postulates in geometry that establish the congruence of two triangles based on the equality of their sides and angles: SSS requires all three corresponding sides to be equal, whereas SAS requires two sides and the included angle to be equal.
Step-by-step explanation:
SSS (Side-Side-Side) and SAS (Side-Angle-Side) are two postulates used in geometry to prove that two triangles are congruent. Congruent triangles have exactly the same size and shape.
In the SSS postulate, if all three sides of one triangle are congruent to all three sides of another triangle, the two triangles are congruent. For example, if triangle ABC has sides of lengths a, b, and c, and triangle DEF has sides of lengths d, e, and f, and if a = d, b = e, and c = f, then the triangles are congruent by SSS.
The SAS postulate requires two sides and the included angle to be congruent. If two sides and the angle between those sides in one triangle are equal to two sides and the angle between those sides of another triangle, the triangles are congruent. For instance, if in triangles GHI and JKL, side g = side j, side h = side k, and angle GHI = angle JKL, the triangles are congruent by SAS.