Question

1. choose the correct answer.

which triangle involves medians?
a
b
d
c

Explanation:

A median of a triangle connects a vertex to the midpoint of the opposite side. In option A, the segments (like \(PX = \frac{1}{2}AC\), \(PY=\frac{1}{2}AB\), \(PZ = \frac{1}{2}BC\)) and the markings show midpoints (the small ticks on sides), indicating the lines are medians. Other options (B: angle - related, C: perpendicular - related, D: equal - segment but not midpoint - based) don't fit the median definition.

Answer:

A. The triangle with segments connecting vertices to midpoints of opposite sides (as shown by midpoint markings and segment - length relations like \(PX=\frac{1}{2}AC\))