What is the first step in constructing a circumscribed circle around triangle XYZ? Construct a line parallel to segment YZ. Construct the perpendicular bisector of segment XY. Construct a copy of angle X. Construct the angle bisector of angle Y.

Construct the angle bisector of angle Y.

Step-by-step explanation:

It asks us what is the first step to build a circumscribed circle around the XYZ triangle, now we know that an inscribed circle is defined as the largest circle that can be drawn within the limits of a plane figure, therefore, the first step to to construct an inscribed circle is to bisect two angles of the plane figure, triangle in this case, since the point of intersection will form the center of the circle.

Therefore from the following options:

Construct a line parallel to segment YZ.

Construct the perpendicular bisector of segment XY.

Construct a copy of angle X.

Construct the angle bisector of angle Y.

Since the first step is construct the angle bisector of angle Y or Z or X.