Question

based on the given diagram, complete the sentence below.

point d is the of △abc because \\(\overline{af}\\), \\(\overline{bg}\\), and \\(\overline{ce}\\) are all

answer attempt 1 out of 3

Explanation:

Step1: Recall Triangle Orthocenter Definition

The orthocenter of a triangle is the point where the three altitudes of the triangle intersect. An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side (or the opposite side itself, if the triangle is right - angled).

Step2: Analyze the Diagram

In the given diagram of \(\triangle ABC\), we see that \(\overline{AF}\), \(\overline{BG}\), and \(\overline{CE}\) are all perpendicular to the sides of the triangle (as indicated by the right - angle symbols at \(F\), \(G\), and \(E\)). So, these segments are altitudes of \(\triangle ABC\). The point \(D\) is the intersection point of these three altitudes.

Answer:

orthocenter; altitudes