Question

determine whether there is enough information to prove that the pair of triangles is congruent by sss or sas. if there is enough information, select the congruence statements to justify your reasoning.

select all that apply.

the triangles are congruent by sas.

the triangles are congruent by sss.

there is not enough information to determine whether the triangles are congruent by sss or sas.

Explanation:

Step1: Identify the common side

In \(\triangle WXY\) and \(\triangle ZYX\), \(\overline{XY}\cong\overline{YX}\) (common side).

Step2: Check the given sides and angles

We know that \(WY = ZX=7\) ft, \(\angle WXY=\angle ZYX = 30^{\circ}\), and \(\overline{XY}\cong\overline{YX}\). By the SAS (Side - Angle - Side) congruence criterion, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Answer:

The triangles are congruent by SAS.