Respuesta :

frika

Answer:

C. [tex]\angle WZX\cong \angle YZX;[/tex] ASA

Step-by-step explanation:

In triangles XWZ and XYZ:

  • [tex]\angle W\cong \angle Y[/tex] - given
  • [tex]\overline{WZ}\cong \overline {YZ}[/tex] - given
  • [tex]\overline{XZ}[/tex] bisects angle WZY - given
  • [tex]\angle WZX\cong \angle YZX[/tex] - definition of an angle bisector

So, [tex]\triangle WZX\cong \triangle YZX[/tex] by ASA.

ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.