Question

a) Write the SAS congruence criteria.

b) Which congruence criteria do you use in the following:

Given:< ABC =<DEF

AB =DE

<BAC = < EDF

So,  ABC ≅  DEF​

Answer 1

SAS congruence criterion: The Side Angle Side (SAS) congruence criterion states that, if under a correspondence, two sides and the included angle of one triangle are equal to two corresponding sides and the included angle of another triangle, then these two triangles are congruent.

By SSS congruence criterion,

since it is given that

AC=DF,

AB=DE,

BC=EF.

The three sides of one triangle are equal to the three corresponding sides of another triangle.

Therefore,

ΔABC≅ΔDEF.

(Note:- please refer to the above picture also)

Answer 2

a)When two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle then they it is said they are in SAS congruence criteria

b)SAS congruence