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Equations of Perpendicular Lines WORKSHEET

Suitable for Grades: Algebra I, IM 1
CCSS: HSA.CED.A.2
CCSS Description: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Equations of Perpendicular Lines WORKSHEET DESCRIPTION

This worksheet is designed to provide scaffolding for learners to aid recognizing and finding equations of perpendicular lines. Section A asks learners to find the pairs of perpendicular lines from their equations. Section B wants learners to write the equation of a line perpendicular to another through a given y-intercept. Section C presents a line on a grid and asks for a perpendicular line equation through a given point. Section D gives an equation and asks for a perpendicular line through a given point. Section E asks for a line perpendicular to another through two other points. Section F is similar to section E, but the points are displayed on a coordinate grid. A final extension question asks learners to find the equation of a perpendicular bisector of two coordinates.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Frequently Asked Questions

This worksheet is designed for Algebra I and IM 1 students who are studying linear functions. The progressive structure from identifying perpendicular line pairs to finding perpendicular bisectors makes it suitable for students who have already mastered basic slope concepts and are ready to explore the relationship between perpendicular slopes.