Question

in which figure is point g an orthocenter?

Explanation:

The orthocenter of a triangle is the intersection point of its three altitudes (lines from each vertex perpendicular to the opposite side).

• In the first triangle (△ABC), point G is the intersection of lines that include the altitude from C to AB (marked with a right angle), and the other lines are the altitudes from A to BC and B to AC, so G is the orthocenter.
• In the second triangle (△DEF), point G is the intersection of lines that connect vertices to the midpoints of opposite sides (marked with congruence ticks), so this is the centroid, not the orthocenter.
• The third figure is incomplete and cannot be evaluated.

Answer:

A. The top figure with triangle ABC, where point G is the intersection of the triangle's altitudes