Question

would you use sss or sas to prove the triangles congruent? use only the marked sides/angles and any shared sides. if there is not enough information to prove the triangles congruent by sss or sas, write not enough information. explain your answer.
write a congruence statement and give a reason why the triangles are congruent. choose the correct answer below.
a. △aro≅△ket, sss
b. △aro≅△ket, sas
c. the two triangles are not necessarily congruent. there is not enough information.

Explanation:

Step1: Recall SSS and SAS criteria

SSS (Side - Side - Side) congruence: If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. SAS (Side - Angle - Side) congruence: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Step2: Analyze the given triangles

In \(\triangle ARO\) and \(\triangle KET\), we have two pairs of sides marked as equal. But we don't know if the included angles (the angles between the marked sides) are equal. Also, we don't have information about the third pair of sides.

Answer:

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