Problem preview

G-CO.10 Warmup M2-034-A10-V02

Prove triangle theorems including angle sum, isosceles base angles, midsegment theorem, and medians concurrence.

Classify a segment using the median definition

Problem

Classify the segment as median, not median, or insufficient evidence: triangle \(ABC\); segment \(BD\); \(D\) lies on \(AC\) but is not known to be its midpoint.

Answer choices

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There is insufficient evidence: D lies on AC, but AD = DC has not been established.

BD is a median because it joins vertex B to side AC.

BD is a median because AB = BC.

BD is not a median because D is not known to be the midpoint.

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Curriculum context

Course: Math II
Standard: G-CO.10
Category: Geometry
Domain: Congruence
Objective: Prove triangle theorems including angle sum, isosceles base angles, midsegment theorem, and medians concurrence.
Problem type: Classify a segment using the median definition