121154
AssignmentMultiple Choice

Centroid and Orthocenter

Question 121154 • OC - LCISD - Geometry B

Which of the following is a correct step for constructing a median of triangle LMN?

Answer
A
Bisect side LN. Construct a line perpendicular to LN through vertex M.
B
Bisect the angle at vertex M. Extend the angle bisector to intersect side LN.
C
Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN.
D
Bisect side LN and side MN. Construct a line segment connecting the two midpoints.

Explanation

A median connects a vertex of a triangle to the midpoint of the opposite side. Bisecting side LN finds its midpoint, and drawing a segment from vertex M to that midpoint constructs the median. So the correct step is to connect vertex M to the midpoint of side LN.

AI-written and checked against the verified answer.

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