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Would you use SSS or SAS to prove the triangles​ congruent? If there is not enough information to prove the triangles congruent by SSS or​ SAS, write​ "not enough​ information." Explain your answer.

A. Triangle AEB is congrent to Triangle CDB by Side - Angle Side.

B. Triangle AEB is congrent to Traingle CDB by Side- Side - Side.

C. The two triangles are not necessarily congruent. There is not enough information.

Would you use SSS or SAS to prove the triangles congruent If there is not enough information to prove the triangles congruent by SSS or

Answer :

The triangles ΔAEB and ΔCDB are congruent as per SSS criteria. The correct option is (B).

What are the criteria for congruent triangles?

Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.

The relation between the two triangles ΔAEB and ΔCDB as per the given information can be shown as follows,

In ΔAEB and ΔCDB,

AE = CB

AB = CD

EB = BD

Since all the three corresponding sides of the triangles are equal, the triangles ΔAEB ≅ ΔCDB by SSS criteria.

Hence, the two triangles are congruent by SSS criteria.

To know more about congruent triangles click on,

https://brainly.com/question/22062407

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