#MeasurementAndSpace #Core >[!info]- [Properties of geometrical figures | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-4/fa77304c54) >- MA4-GEO-C-01 identifies and applies the properties of triangles and quadrilaterals to solve problems ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | --------------------------------------- | ----------------------------------------------------------------------------------------------------------------- | ------------------------------------------------------------------------------------------------------------------ | | [[Two-dimensional Spatial Structure A]] | - classifying triangles | - classifying triangles and quadrilaterals | | [[Equations]] | - two-step equations | - solving harder angle problems | | [[Angle Relationships]] | - angle relationships involving transversals and parallel lines<br>- formal reasoning when solving angle problems | - proof of interior angle sum of a triangle<br>- harder problems involving angle sum of triangle and quadrilateral | ## [[Classify triangles according to their side and angle properties.pdf]] - Label triangles using appropriate text and symbols - Classify and describe types of triangles based on their properties, including acute-angled, right-angled, obtuse-angled, equilateral, isosceles and scalene triangles ## [[Classify quadrilaterals and describe their properties.pdf]] - Identify quadrilaterals using naming conventions - Distinguish between convex and non-convex quadrilaterals - Verify and describe the properties of the special quadrilaterals which include parallelograms, rectangles, rhombuses, squares, trapeziums and kites - Identify and label the properties of the special quadrilaterals using appropriate conventions - Classify quadrilaterals based on their properties - Justify why some quadrilaterals may be classified as more than one type of quadrilateral ## [[Apply the properties of triangles and quadrilaterals.pdf]] - Prove that the interior angle sum of a triangle is 180° with or without digital tools - Prove that any exterior angle of a triangle equals the sum of the 2 interior opposite angles - Apply the angle sum of a triangle to prove that the angle sum of a quadrilateral is 360° - Apply the properties of triangles and quadrilaterals to determine unknown sides and angles to solve problems, giving reasons