Geometry
Identifying parallel lines worksheets
Decide whether six pairs of extended supporting lines are parallel. The balanced set includes parallel, perpendicular and oblique examples in varied orientations.
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Classifying line relationships worksheets
Classify six pairs of extended supporting lines as parallel, perpendicular or intersecting but not perpendicular. Each worksheet balances two examples of every relationship.
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Classify the extended supporting lines as parallel, perpendicular, or intersecting but not perpendicular. Extend every drawn line, ray or segment mentally in both directions.
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Customize this worksheetClassify the extended supporting lines
Each line, ray or segment represents part of a complete supporting line. Extend both straight paths mentally before deciding their relationship. Short pieces that do not touch on the page can still have supporting lines that intersect.
Parallel lines remain distinct and keep the same direction. Perpendicular lines intersect at exactly 90 degrees. A different crossing is labelled intersecting, not perpendicular.
Learning objective
What this activity builds
Use a complete three-way classification that keeps ordinary oblique intersections distinct from right-angle intersections.
Worked example
Two lines cross at 60 degrees. How should their relationship be classified?
Intersecting, not perpendicular.
The lines meet, so they are not parallel. Their angle is 60 degrees rather than 90 degrees, so perpendicular is also incorrect.
Teaching notes
Make the practice count
- Use a decision order: do the extended lines meet; if they do, is the angle exactly 90 degrees?
- Keep “intersecting, not perpendicular” as one complete response.
- Include rotated examples so the page is not classified by appearance alone.
- Ask learners to justify the relationship using direction, intersection or a right-angle fact.
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