The diagram provided shows a circle with a center at \(A\). \(\angle ADB\) is a right angle. \(\overline{EC}\) is a line segment. Points \(A\) and \(D\) lie on this segment. Segment \(\overline{AE}\) has length \(x\), segment \(\overline{BD}\) has length \(y\), and \(\angle BAC\) has measure \(m\) degrees.
Which of these statements justify/justifies the conclusion that \(\overline{AB} \cong \overline{AC} \cong \overline {AE}\)?
- They are all radii of the circle.
- They are all segments in the same circle.
- They all have an endpoint on the circle and the other endpoint at the center.