Lesson Plan: Perpendicular Distance from a Point to a Line on the Coordinate Plane | Nagwa Lesson Plan: Perpendicular Distance from a Point to a Line on the Coordinate Plane | Nagwa

Lesson Plan: Perpendicular Distance from a Point to a Line on the Coordinate Plane Mathematics

This lesson plan includes the objectives and prerequisites of the lesson teaching students how to find the perpendicular distance between a point and a straight line or between two parallel lines on the coordinate plane using the formula.

Objectives

Students will be able to

  • recall that the distance from a point (𝑚,𝑛) to the line 𝐴𝑥+𝐵𝑦+𝐶=0 is given by the formula 𝑑=|𝐴𝑚+𝐵𝑛+𝐶|𝐴+𝐵,
  • use the formula to calculate the distance from a point to a line (the line may be given in vector form),
  • calculate the unknowns in a coordinate of a point given the equation of a line and its distance from the line,
  • use the formula to find the distance between two parallel lines,
  • find the possible equations for a line at a specified perpendicular distance from a point,
  • find the area of a given polygon on the coordinate plane using the concept of the distance between a point and a line.

Prerequisites

Students should already be familiar with

  • Cartesian, vector, and parametric forms of straight lines and how to convert between them,
  • how to evaluate a formula for a specified variable.

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