Question

based on the given diagram, complete the sentence below.
answer
point ( d ) is ( \triangle a b c )s orthocenter. ( overline{a d}, overline{b d} ), and ( overline{c d} ) are all
angle bisectors
perpendicular bisectors
medians
altitudes

Explanation:

Step1: Recall the definition of orthocenter

The orthocenter of a triangle is the point where the altitudes of the triangle intersect.

Step2: Analyze the given information

Since point \(D\) is \(\triangle ABC\)'s orthocenter, the lines \(\overline{AD}\), \(\overline{BD}\), and \(\overline{CD}\) must be the altitudes of the triangle (as the orthocenter is the intersection of altitudes).

Answer:

altitudes