Question

∠gkj is a right angle and (overline{jk}congoverline{gk}).
which term des (overline{ik})?
median perpendicular bisector
angle bisector altitude

Explanation:

Step1: Recall definitions

• Median: A line segment joining a vertex to the mid - point of the opposite side.
• Perpendicular bisector: A line that is perpendicular to a segment and divides it into two equal parts.
• Angle bisector: A line that divides an angle into two equal parts.
• Altitude: A perpendicular segment from a vertex to the line containing the opposite side.

Step2: Analyze \(IK\)

Since \(\angle GKJ\) is a right angle (\(IK\perp GJ\)) and \(JK = GK\) (but there is no information that \(IK\) bisects a side or an angle in the context of the whole triangle \(JGH\)). The key property is that \(IK\) is perpendicular to \(GJ\).

Answer:

altitude