Question

answer
\\( \overline { y z } \\) is a segment bisector.
\\( \overline { y z } \\) is a perpendicular bisector.
\\( \overline { y z } \\) is an angle bisector.
\\( y \\) is the vertex of two angles that are congruent to one another.
\\( z \\) is the vertex of a right angle
none of the above

Explanation:

Step1: Analyze the properties of segment bisector

A segment bisector divides a segment into two equal parts. In the figure, there is no indication that \(\overline{YZ}\) divides any segment into two equal - length parts.

Step2: Analyze the properties of perpendicular bisector

A perpendicular bisector is a line that is perpendicular to a segment and bisects it. There is no information in the figure to suggest that \(\overline{YZ}\) is perpendicular to a segment and bisects it.

Step3: Analyze the properties of angle bisector

An angle bisector divides an angle into two equal - measure angles. There is no indication in the figure that \(\overline{YZ}\) divides an angle into two equal - measure angles.

Step4: Analyze the vertex of congruent angles

There is no information in the figure to suggest that \(Y\) is the vertex of two congruent angles.

Step5: Analyze the vertex of a right - angle

The right - angle in the figure is at \(U\), not at \(Z\).

Answer:

None of the above.