Question

State true or false:

If two sides and an angle of a triangle are respectively equal to two sides and an angle of another triangle,then the two triangles are always congruent.

• A. True
• B. False

Answer 1

The correct option is B False

If two sides and one angle of one triangle is equal to the two sides and one angle of another triangle, then the two triangles may or may not be congruent.
For the two triangles to be congruent, the angle must be contained by the two sides. Thus, by $SAS$ rule the two triangles will be congruent.

So, the triangles are not always congruent.

Hence, $False$