Question

answer attempt 1 o
point d is the
and \\( \overline { d g } \\) are all

Explanation:

Step1: Recall definitions

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

Step2: Analyze the given segments

In the figure, \(DE\perp AB\) and \(E\) is the mid - point of \(AB\) (since \(AB\) is marked with equal segments), \(DF\perp BC\) and \(F\) is the mid - point of \(BC\) (since \(BC\) is marked with equal segments), \(DG\perp AC\) and \(G\) is the mid - point of \(AC\) (since \(AC\) is marked with equal segments).

Since \(DE\), \(DF\), and \(DG\) are perpendicular to the sides of the triangle and bisect them, they are perpendicular bisectors.

Answer:

perpendicular bisectors