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G-GPE.6 Warmup M2-044-A08-V04

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

Find the point that is a given fraction of the way from one endpoint to another

Problem

Use vector form to find the point that is \(1/2\) of the way from \((-4,2)\) to \((8,10)\).

Neutral vector-partition reference: start (negative 4, 2), end (8, 10), and fraction one-half from the start, without a vector, segment, or marked 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 the point that is a given fraction of the way from one endpoint to another