Problem preview

G-CO.10 Warmup M2-034-A14-V03

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

Choose the triangle theorem needed for a problem

Problem

A point lies on \(\text{all}~\text{three}~\text{medians}\) of a triangle and divides each median in a \(2:1\) ratio measured from the vertex. Name the theorem that identifies this point and its median-division property.

Answer choices

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Preview only

Isosceles Base Angles Theorem

Triangle Midsegment Theorem

Centroid Theorem

Triangle Angle-Sum Theorem

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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: Choose the triangle theorem needed for a problem