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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Identifying triangles worksheets
Classify 12 triangles into seven angle-and-side buckets using exact geometry, equal-side tick marks and right-angle squares. Choose any nonempty class set and print a separate answer key.
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Classify each triangle. Matching tick counts show equal side lengths, while different tick counts show different lengths on this worksheet. Use the right-angle square when present.
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Customize this worksheetCombine angle facts with side markings
Every sheet has twelve triangles in three columns and four rows. Matching tick counts identify equal sides, while different counts identify different lengths on this worksheet. A small square marks an exact right angle.
First decide whether the angle class is acute, right or obtuse. Then decide whether the sides are scalene or isosceles. When all three sides match, use the special Equilateral answer bucket; this worksheet convention is compatible with the inclusive definition that an equilateral triangle also has at least two equal sides.
Learning objective
What this activity builds
Combine exact side equality with acute, right or obtuse angle evidence to name each triangle using the worksheet’s seven answer buckets.
Worked example
A triangle has one right-angle square, and all three sides have different tick counts. How is it classified?
Right Scalene.
The square proves that one angle is exactly 90 degrees, so the angle class is right. Three different tick counts show three different side lengths, so the side class is scalene.
Teaching notes
Make the practice count
- Read the angle evidence and side evidence separately before combining the two words.
- Treat matching tick counts as equal lengths and different tick counts as different lengths on this worksheet.
- Use Equilateral as the special answer bucket when all three sides match; this naming convention does not deny the inclusive definition of isosceles.
- Rotate a diagram to show that orientation and reflection do not change its classification.
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