Question

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∠acd is a right angle.
which term describes \\(\overline{ac}\\)?
options: altitude, angle bisector, median, none of these

Explanation:

Step1: Recall definitions

• Altitude: A segment from a vertex perpendicular to the opposite side (or its extension) in a triangle.
• Angle bisector: A segment that divides an angle into two equal angles.
• Median: A segment from a vertex to the midpoint of the opposite side.

Step2: Analyze the diagram

Given \( \angle ACD \) is a right angle, so \( AC \perp DB \) (since \( D, C, B \) are colinear). \( AC \) is a segment from vertex \( A \) to side \( DB \) (or its extension) and is perpendicular to \( DB \).

Step3: Match with definitions

• It's not necessarily an angle bisector (no info about angle division).
• It's not necessarily a median (no info about \( C \) being the midpoint).
• It is an altitude because it's perpendicular to the opposite side \( DB \).

Answer:

altitude