Question

a student was asked to draw a geometric construction. which geometric construction did the student draw? a perpendicular bisector of a given line segment a line segment that is congruent to a given line segment a line perpendicular to a given line through a point that lies on the line a line perpendicular to a given line through a point that does not lie on the line

Explanation:

观察图形，点\(P\)不在直线\(l\)上，通过以\(P\)为圆心画弧交直线\(l\)于\(A\)、\(B\)两点，再分别以\(A\)、\(B\)为圆心画弧交于点\(Q\)，连接\(PQ\)，这是过直线外一点作已知直线垂线的几何作图方法。

Answer:

D. a line perpendicular to a given line through a point that does not lie on the line