Question

question 1 - 8
a student used a compass and straightedge to construct the perpendicular bisector of $overline{pq}$. which of the following is always true about the resulting figure?
the construction creates two congruent acute angles on one side of $overline{pq}$
the construction creates a line that intersects $overline{pq}$ at its mid - point and forms right angles
the construction creates a line that forms a $45^{circ}$ angle with $overline{pq}$
the construction creates a line that is parallel to $overline{pq}$

Explanation:

The perpendicular bisector of a line segment intersects the segment at its mid - point and forms right angles (90°). By definition, it is not parallel to the original line segment and does not form 45° angles with it, and it doesn't create congruent acute angles on one side of the original line segment in the sense described in the first option.

Answer:

The construction creates a line that intersects $\overline{PQ}$ at its midpoint and forms right angles.