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G-GPE.6 Warmup M2-044-A03-V04

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

Find a point that partitions a directed segment in a ratio

Problem

Find the point that partitions the directed segment from \((2,-3)\) to \((14,9)\) in the ratio \(1:2\).

Neutral directed-segment reference: start (2, negative 3), end (14, 9), and partition ratio 1 to 2, without a drawn segment or marked partition point. Open full size
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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
Find a point that partitions a directed segment in a ratio