Properties of Geometrical Figures
Outcomes
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MA4-17MG
Classifies, describes and uses the properties of triangles and quadrilaterals, and determines congruent triangles to find unknown side lengths and angles
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Properties of Geometrical Figures 1
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Classify triangles according to their side and angle properties and describe quadrilaterals (ACMMG165)
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Recognise and classify types of triangles on the basis of their properties (acute-angled triangles, right-angled triangles, obtuse-angled triangles, equilateral triangles, isosceles triangles and scalene triangles)
Examples
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Investigate the properties of special quadrilaterals (parallelograms, rectangles, rhombuses, squares, trapeziums and kites), including whether: the opposite sides are parallel, the opposite sides are equal, the adjacent sides are perpendicular, the opposi
Examples
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Recognise and classify types of triangles on the basis of their properties (acute-angled triangles, right-angled triangles, obtuse-angled triangles, equilateral triangles, isosceles triangles and scalene triangles)
- Identify line and rotational symmetries (ACMMG181)
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Demonstrate that the angle sum of a triangle is 180 degrees and use this to find the angle sum of a quadrilateral (ACMMG166)
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Justify informally that the interior angle sum of a triangle is 180 degrees, and that any exterior angle equals the sum of the two interior opposite angles
Examples
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Use the angle sum results for triangles and quadrilaterals to determine unknown angles in triangles and quadrilaterals, giving reasons
Examples
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Justify informally that the interior angle sum of a triangle is 180 degrees, and that any exterior angle equals the sum of the two interior opposite angles
- Use the properties of special triangles and quadrilaterals to solve simple numerical problems with appropriate reasoning
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Classify triangles according to their side and angle properties and describe quadrilaterals (ACMMG165)
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Properties of Geometrical Figures 1