Problem preview
G-GPE.6 Warmup M2-044-A10-V01

Find the point that partitions a directed segment between two points in a given ratio.

Compare internal and external partition points

Problem

Is this an internal or external partition: point is between \(A\) and \(B\)?

Big Picture

What this problem is really about

Internal and external describe location relative to the endpoints, not whether the two pieces are equal. We’ll record the stated point order, compare it with the between-endpoints and beyond-endpoint definitions, classify the partition from that location, and avoid adding an unsupported midpoint claim.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-GPE.6
Category
Geometry
Domain
Expressing Geometric Properties with Equations
Objective
Find the point that partitions a directed segment between two points in a given ratio.
Problem type
Compare internal and external partition points