Question

∠bdc is a right angle. which term describes \overline{bd}? perpendicular bisector median altitude none of these

Explanation:

Step1: Recall definitions

• Perpendicular bisector: A line that is perpendicular to a segment and bisects it. There is no information that \(BD\) bisects \(AC\) or is perpendicular to \(AC\) (except for \(\angle BDC = 90^{\circ}\), but we don't know about \(AD\) and \(DC\) length).
• Median: A line segment joining a vertex to the mid - point of the opposite side. There is no information that \(D\) is the mid - point of \(AC\).
• Altitude: A perpendicular segment from a vertex to the line containing the opposite side. Since \(\angle BDC=90^{\circ}\), \(BD\) is perpendicular to \(DC\) (assuming \(D\) is on \(AC\)) and \(BD\) is a segment from vertex \(B\) to the line containing \(AC\) (with \(D\) on \(AC\)).

Answer:

altitude