Question

Explain SAS theorem.

Answer 1

SAS stands for SIDE-ANGLE-SIDE.
The SAS theorem states that two triangles are equal if two sides and the angle between those two sides are equal.
The angle between the two sides is also called the included angle.
Let us understand this with an example:
$\Delta ABC\cong \Delta XYZ$
Two sides and the included angle should be congruent.
AC = ZX (side)
$\angle ACB=\angle XZY$ (angle)
CB = ZY (side)
Therefore, by the Side Angle Side postulate, the triangles will be congruent.