Answer: \(\overline{WX}\cong \overline{WV},\ \overline{VA}\cong\overline{AZ}\)
\(\overline{XY}\cong\overline{YZ}\)
\(\overline{UV}\cong \overline{UZ}\cong \overline{UX}\)
Step-by-step explanation:
In the given figure we have a triangle , in which U is the circumcenter of triangle XVZ.
We know that the circumcenter is equidistant from each vertex of the triangle.
Since , the line segments which are representing the distance from the vertex and the circumcenter are \(\overline{UV},\ \overline{UZ},\ \overline{UX}\)
Also, The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.
Then , \(\overline{WX}\cong \overline{WV},\ \overline{VA}\cong\overline{AZ}\) and \(\overline{XY}\cong\overline{YZ}\)
Hence, the segments which are congruent are \(\overline{UV}\cong \overline{UZ}\cong \overline{UX}\)
\(\overline{WX}\cong \overline{WV},\ \overline{VA}\cong\overline{AZ}\)
\(\overline{XY}\cong\overline{YZ}\)
