Question

Given that point U is the circumcenter of triangle xvz , which segments are congruent?

Answer 1

Answer:

Congruent segments are line segments that have the same length. In the given figure we find that the point U is the center of the circle and the circumcenter (The point that is equidistant from each vertex of the triangle) of triangle VXZ.  

Considering the information above, we have that the following segments are congruent:

$\overline{WX}\cong \overline{WV},\ \overline{VA}\cong\overline{AZ}$

$\overline{XY}\cong\overline{YZ}$

$\overline{UV}\cong \overline{UZ}\cong \overline{UX}$