Use coordinates to prove simple geometric theorems algebraically. For
example, prove or disprove that a figure defined by four given points in the
coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies
on the circle centered at the origin and containing the point (0, 2).
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.
Subject Area: Mathematics
Domain-Subdomain: Geometry: Expressing Geometric Properties with Equations
Cluster: Level 2: Basic Application of Skills & Concepts
Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Test Item Specifications
- Assessment Limits :
Items may require the student to use slope or to find the distance
Items may require the student to prove properties of triangles,
properties of quadrilaterals, properties of circles, and properties of
Items may require the student to use coordinate geometry to provide
steps to a proof of a geometric theorem.
- Calculator :
- Clarification :
Students will use coordinate geometry to prove simple geometric
- Stimulus Attributes :
Items may be set in a real-world or mathematical context.
- Response Attributes :
Items may require the student to determine if the algebraic proof is
Sample Test Items (1)
- Test Item #: Sample Item 1
One diagonal of square EFGH is shown on the coordinate grid.
There are two highlights in the sentence to show which word or phrase may be incorrect. For each highlight, click the word of phrase that is correct.
- Difficulty: N/A
- Type: ETC: Editing Task Choice