Answer:
(a) median
(b) angle bisector
(c) altitude
Explanation:
- The perpendicular bisector of a side of a triangle is a line perpendicular to the side and passing through its midpoint.
- The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles.
- A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex.
- An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side (or the line containing the opposite side).
(a) median
IG = IH ⇒ I is the midpoint GH, BUT it is not perpendicular to FI, so median
(b) angle bisector
m∠XYV = m∠ZYV, BUT YV is not perpendicular to XZ, so angle bisector
(c) altitude
m∠BDC = 90° but AD ≠ DC (so not perpendicular bisector)