Question

a student makes a geometric construction using a compass and a straight edge, as shown. what is the student most likely constructing? a line parallel to mn perpendicular bisector of line segment mn square mpnq two equilateral triangles, △mnp and △mqn.

Explanation:

用圆规和直尺进行几何作图时，图中以线段MN两端点为圆心画弧，两弧交点分别为P、Q，这种作图方式通常是在作线段MN的垂直平分线。因为作垂直平分线的步骤就是分别以线段两端点为圆心，以大于线段一半长度为半径画弧，两弧相交于两点，连接这两点的直线就是线段的垂直平分线。

Answer:

perpendicular bisector of line segment MN