GEOM.MATH.2.C

Determine an equation of a line parallel or perpendicular to a given line that passes through a given point.

Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
equation of a lineparallel lineperpendicular linegiven linegiven point
Skills
  • determine (an equation of a line parallel to a given line that passes through a given point) #dok2
  • determine (an equation of a line perpendicular to a given line that passes through a given point) #dok2
  • analyze (the relationship between slopes of parallel and perpendicular lines) #dok2
  • apply (the point-slope or slope-intercept form to write equations of lines) #dok2
Learning Targets
  • I can identify the slope of a given line. #dok1
  • I can use the slope-intercept and point-slope forms to write equations of lines. #dok1
  • I can determine the slope of a parallel or perpendicular line given a line’s equation. #dok2
  • I can write the equation of a line parallel to a given line through a specific point. #dok2
  • I can write the equation of a line perpendicular to a given line through a specific point. #dok2
  • I can explain how the slopes of parallel and perpendicular lines are related. #dok2
  • I can construct equations of parallel and perpendicular lines to solve geometric problems in the coordinate plane. #dok3
Big Ideas
  • The relationship between the slopes of parallel and perpendicular lines is fundamental to understanding geometric relationships in the coordinate plane.
  • Equations of lines can be systematically constructed to meet specific geometric constraints, such as passing through a point and being parallel or perpendicular to a given line.
Essential Questions
  • How can I determine whether two lines are parallel or perpendicular by examining their equations?
  • What steps are required to write the equation of a line that is parallel to a given line and passes through a specific point?
  • How does the slope of a perpendicular line relate to the slope of the original line?
  • Why is it important to understand the construction of equations for parallel and perpendicular lines in geometric applications?
  • How can these concepts be applied to solve real-world or geometric problems?