Question

1. is there enough information to determine if the two triangles are congruent? explain your reasoning. copyright © 2024 by a+ college ready. all rights reserved. 2 of 4

Explanation:

Step1: Identify congruence criteria

We look at side - angle - side (SAS) congruence criterion.

Step2: Check given markings

In \(\triangle QRS\) and \(\triangle WUV\), we have \(QS = WV\) (one pair of equal sides), \(\angle S=\angle V\) (one pair of equal angles), and \(RS = UV\) (another pair of equal sides).

Step3: Apply congruence rule

By the Side - Angle - Side (SAS) congruence criterion, since two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, the two triangles are congruent.

Answer:

Yes, the two triangles are congruent by the SAS (Side - Angle - Side) congruence criterion.