Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Expressing Geometric Properties with Equations
Cluster: Level 1: Recall
Cluster: Use coordinates to prove simple geometric theorems algebraically. (Geometry - Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes


  • Item Type(s): This benchmark may be assessed using: EE item(s)

  • Assessment Limits :


  • Calculator :


  • Clarification :
    Students will find a point on a directed line segment between two
    given points when given the partition as a ratio. 
  • Stimulus Attributes :
    Items may be set in a real-world or mathematical context. 
  • Response Attributes :
    Items may require the student to find a ratio when given the
    endpoints of a directed line segment and a point on the line segment.

    Items may require the student to find an endpoint when given a ratio,
    one endpoint, and a point on the directed line segment.


  • Test Item #: Sample Item 1
  • Question:

    Points A,B, and C are colinear and AB:BC = begin mathsize 12px style 2 over 5 end style. Point A is located at (-3,6), point B is located at (n,q), and point C is located at (-3,-4).

    What are the values of n and q?

  • Difficulty: N/A
  • Type: EE: Equation Editor