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Question
In Δ LMN, _____ is an altitude and _____ is a median. (Write the names of appropriate segments.)
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Solution
In ∆ LMN, segment LX is an altitude and segment LY is a median.
Explanation:
In ∆ LMN, seg LX is an altitude and seg LY is a median.
Identifying the Altitude (seg LX):
An altitude of a triangle is the perpendicular segment drawn from a vertex to the opposite side.
In the given diagram, the segment LX is drawn from vertex L to the opposite side MN. The square symbol (⊥) at point X indicates a right angle (90°).
Therefore, LX is the altitude.
Identifying the Median (seg LY):
A median of a triangle is a segment joining a vertex to the midpoint of the opposite side.
The segment LY connects the vertex L to point Y on the base MN, where Y represents the midpoint of side MN (making MY = YN).
Therefore, LY is the median.
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