Geometry
Classifying angles worksheets
Classify 20 angles as acute, right, obtuse or straight. Ten questions use unlabelled diagrams and ten use exact degree measures, followed by a separate answer key.
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Angle-pair relationships worksheets
Identify every relationship that applies to two marked angles: adjacent, complementary, a linear pair or vertical. Eight diagrams show both exact measures and a separate checked answer key.
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For each pair of marked angles, choose all relationships that apply: adjacent, complementary, linear pair and vertical. More than one answer can be correct.
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Customize this worksheetRead the given facts, not the page orientation
Angles keep the same measure when a diagram is rotated. A right-angle square is an exact fact; otherwise use the stated degree measures when they are supplied. The first ten questions on the classification sheet intentionally omit measures so learners reason from the picture.
Naming practice uses directed rays. Read ray BA from vertex B through A. In a multi-ray figure, every pair of rays determines an angle, including a larger angle that spans smaller sectors.
Learning objective
What this activity builds
Use shared rays, opposite rays and exact measures together instead of treating angle-pair labels as mutually exclusive.
Worked example
Two opposite angles formed by intersecting lines are each marked 45 degrees. Which listed relationships apply?
Vertical and complementary.
The angles are opposite, so they are vertical angles. Their stated measures add to 90 degrees, so they are also complementary. They are not adjacent and do not form a linear pair.
Teaching notes
Make the practice count
- Check position and measure separately, then combine the results.
- Trace the shared ray for adjacent angles and the two opposite exterior rays for a linear pair.
- Use the printed measures to decide complementarity; do not estimate from the drawing.
- Explain that a linear pair is supplementary even though supplementary is not one of this worksheet's answer categories.
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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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