Math II · G-GPE.6

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

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

Concept Geometry
Domain Expressing Geometric Properties with Equations
Problem Types

Problem Templates In This Objective

11 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Find the midpoint of a segment

4 variants
Template 2

Find the point that partitions a directed segment in a given ratio

4 variants
Template 3

Find a point that partitions a directed segment in a ratio

4 variants
Template 4

Interpret and compute a directed segment partition

4 variants
Template 5

Find a missing endpoint from a partition point

4 variants
Template 6

Find the ratio in which a point partitions a segment

4 variants
Template 7

Use partition points in a real-world context

4 variants
Template 8

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

4 variants
Template 9

Determine whether a point lies on a segment before partitioning

4 variants
Template 10

Compare internal and external partition points

4 variants
Template 11

Apply the partition formula with algebraic coordinates

4 variants