Point A is the incenter of triangle DEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z.
Which must be true? Select three options

Point A is the center of the circle that passes through points D, E, and F.
Point A is the center of the circle that passes through points X, Y, and Z.
Line segment Z A is-congruent-to line segment Y A
Line segment E A is-congruent-to line segment F A
Line segment A X is-congruent-to line segment A Y