Classify shapes by properties
Practise online with Next and Previous buttons, worked explanations and a report of the questions to review.
Log in to continueUse side and angle tests and explain inclusive relationships.
One-question preview
Choose one answer
Try this sample, or continue to the online quiz for a practice set with Next and Previous buttons.
Classify a triangle with side lengths 4, 4, 4 cm using its most specific side classification.
Show worked steps
Answer: Equilateral
- The side lengths have 1 distinct value.
- The most specific classification is equilateral.
This is a question from this topic’s quiz. Preview answers are not saved.
Scratchpad
Working out
Draw with a finger, pen or mouse, or type your working below.
Your working stays on this page. It is not submitted or saved, and clears when you leave or reload.
Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use side and angle tests and explain inclusive relationships.
Read the official VCAA curriculum description (VC2M7SP02)
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.
- VC2M7SP02-C01Check that three lengths can form a triangle, then compare side lengths: equilateral has three equal sides; isosceles has at least two; scalene has none. Acute triangles have three acute angles, a right triangle has one right angle, and an obtuse triangle has one obtuse angle.
- VC2M7SP02-C02Use given side and angle properties, rather than estimating from the drawing. A square belongs to the rectangle, rhombus and parallelogram families as well. A kite has two pairs of adjacent equal sides. Here, a trapezium has exactly one pair of parallel opposite sides; its given properties distinguish it from a parallelogram.
- VC2M7SP02-C03A regular polygon has equal side lengths and equal interior angles: both conditions matter. A convex polygon has all interior angles less than 180°; a simple concave polygon has an inward corner with an interior angle greater than 180°. Explain why the givens meet a definition, and use counterexamples to test general claims.
- VC2M7SP02-C04Constructing, comparing and reasoning about triangle, quadrilateral and other polygon relationships.
Learn with worked examples
Help with this topic
Skills in this topic
Traceable coverage
Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Classify triangles using sides and anglesCheck that three lengths can form a triangle, then compare side lengths: equilateral has three equal sides; isosceles has at least two; scalene has none. Acute triangles have three acute angles, a right triangle has one right angle, and an obtuse triangle has one obtuse angle.
- D02Compare quadrilateral familiesUse given side and angle properties, rather than estimating from the drawing. A square belongs to the rectangle, rhombus and parallelogram families as well. A kite has two pairs of adjacent equal sides. Here, a trapezium has exactly one pair of parallel opposite sides; its given properties distinguish it from a parallelogram.
- D03Reason about other polygonsA regular polygon has equal side lengths and equal interior angles: both conditions matter. A convex polygon has all interior angles less than 180°; a simple concave polygon has an inward corner with an interior angle greater than 180°. Explain why the givens meet a definition, and use counterexamples to test general claims.