Question

Arttu followed the following instructions: Draw an angle using a straightedge with vertex point Q . Place points P and R at the end of the angle forming segments QP¯¯¯¯¯¯¯¯ and QR¯¯¯¯¯¯¯¯ . Using a compass, draw an arc that intersects both sides of the angle. Place two points, A and B , at the intersection of the arc with both sides of the angle. Placing the pointed end of the compass on point A , draw a smaller arc inside the angle that extends more than halfway across the inside of the angle. Placing the pointed end of the compass on point B , draw a smaller arc inside the angle that extends more than halfway across the inside of the angle. Place point C at the intersection of the two smaller arcs and draw a segment from the vertex point Q to point C . What term best describes segment QC¯¯¯¯¯¯¯¯ ? Responses

Answer 1

QC is the angle bisector of ∠PQR — the segment (ray) from Q through C divides the angle into two congruent angles.