Design and test geometric algorithms
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An algorithm sorts side lengths, then checks whether the two shorter lengths add to more than the longest. For lengths [3, 4, 5], which conclusion is correct?
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Answer: A triangle can be formed
- The shorter lengths add to 7; the longest is 5.
- The sum must be strictly greater than the longest side.
- A triangle can be formed.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Follow geometric decision rules, then build and refine constructions with meaningful tests.
Read the official VCAA curriculum description (VC2M9SP03)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M9SP03-C01Apply a strict side-length condition before constructing a triangle.
- VC2M9SP03-C02Design, test, refine and evaluate a geometric construction algorithm.
- VC2M9SP03-C03Apply the converse of Pythagoras after validating a triangle.
- VC2M9SP03-C04Implement, discuss and evaluate a theorem-based algorithm.
- VC2M9SP03-C05Apply and explain design and test geometric algorithms using calculate and explain each step.
- VC2M9SP03-C06Apply and explain design and test geometric algorithms using read and connect representations.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Check whether a construction is possibleApply a strict side-length condition before constructing a triangle.
- D02Use a theorem in a decisionApply the converse of Pythagoras after validating a triangle.
- D03Calculate and explain each stepApply and explain design and test geometric algorithms using calculate and explain each step.
- D04Read and connect representationsApply and explain design and test geometric algorithms using read and connect representations.