Geometry
Parallel and Perpendicular Slopes Worksheets
Find both parallel and perpendicular slopes from integer or fractional slopes, with explicit zero and undefined slope practice.
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Classify Lines from Slopes Worksheets
Decide whether distinct lines are parallel, perpendicular or neither from their slopes, including fractions, zero and undefined slopes.
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Assume the lines are distinct. Classify each pair as parallel, perpendicular, or neither.
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Customize this worksheetCompare exact slopes
Equal slopes identify distinct parallel lines. Negative reciprocals identify perpendicular lines; every other pair is neither.
Learning objective
What this activity builds
Compare exact slopes to identify line relationships.
Worked example
Classify distinct lines with slopes 2/3 and -3/2.
Perpendicular.
The product is -1, so the slopes are negative reciprocals.
Teaching notes
Make the practice count
- Equal slopes mean parallel under the distinct-line assumption.
- Two undefined slopes are parallel; zero and undefined slopes are perpendicular.
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Ten slope tasks include positive and negative fractions plus explicit zero and undefined cases.
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Related activities
Geometry
Classify Lines from Equations Worksheets
Compare two linear equations and identify parallel, perpendicular or intersecting but not perpendicular lines, with worked slope reasoning.
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