Question

11 multiple choice 5 points in the two triangles, ( ab = xy ), ( ac = xz ), and ( mangle cab = mangle zxy = 110^{circ} ). choose the best answer that explains the relationship between the two triangles. congruent by sss congruent by sas cannot be determined not congruent

Explanation:

Step1: Recall the SAS congruence criterion

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

Step2: Identify the sides and included angle in the given triangles

In \(\triangle ABC\) and \(\triangle XYZ\), we have \(AB = XY\), \(AC=XZ\), and the included angle \(\angle CAB=\angle ZXY = 110^{\circ}\).

Answer:

B. congruent by SAS