Question

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

Explanation:

Step1: Analyze the definition of an angle bisector

An angle bisector is a ray that divides an angle into two congruent angles. In the given diagram, \(\overline{RT}\) divides \(\angle QRP\) into two congruent angles (as indicated by the marks).

Step2: Analyze other options

• For \(\overline{RT}\) being a perpendicular bisector: There is no indication that \(\overline{RT}\) is perpendicular to any segment or bisects a segment.
• For \(R\) being the vertex of a right - angle: There is no right - angle symbol at \(R\).
• For \(T\) being the vertex of a right - angle: There is no right - angle symbol at \(T\).

Answer:

\(\overline{RT}\) is an angle bisector.