Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
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


Geometry - Fluency Recommendations

Fluency with the use of coordinates to establish geometric results, calculate length and angle, and use geometric representations as a modeling tool are some of the most valuable tools in mathematics and related fields.


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

  • Assessment Limits :
    Items may require the use of the Pythagorean theorem.

    Items may include convex, concave, regular, and/or irregular

    In items that require the student to find the area, the polygon must
    be able to be divided into triangles and rectangles.

  • Calculator :


  • Clarification :
    Students will use coordinate geometry to find a perimeter of a

    Students will use coordinate geometry to find the area of triangles
    and rectangles.

  • Stimulus Attributes :
    Items must be set in a real-world context.
  • Response Attributes :
    Items may require the student to apply the basic modeling cycle.

    Items may require the student to use or choose the correct unit of

    Items may require the student to find a dimension given the
    perimeter or area of a polygon.


  • Test Item #: Sample Item 1
  • Question:

    Polygon ABCDE is shown on the coordinate grid.

    What is the perimeter, to the nearest hundredth of a unit, of polygon ABCDE?

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