Prove the slope criteria for parallel and perpendicular lines and use
them to solve geometric problems (e.g., find the equation of a line
parallel or perpendicular to a given line that passes through a given
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 - Archived
Test Item Specifications
- Assessment Limits :
Lines may include horizontal and vertical lines.
Items may not ask the student to provide only the slope of a parallel
or perpendicular line.
- Calculator :
- Clarification :
Students will prove the slope criteria for parallel lines.
Students will prove the slope criteria for perpendicular lines.
Students will find equations of lines using the slope criteria for
parallel and perpendicular lines.
- Stimulus Attributes :
Items may be set in a real-world or mathematical context.
- Response Attributes :
Items may require the student to be familiar with slope-intercept
form of a line, standard form of a line, and point-slope form of a line.
Sample Test Items (1)
- Test Item #: Sample Item 1
The equation for line A is shown.
Line A and line B are perpendicular, and the point (-2,1_ lies on line B.
Write an equation for line B.
- Difficulty: N/A
- Type: EE: Equation Editor