#MeasurementAndSpace #Path #Ext >[!info]- [Properties of geometrical figures C (Path) | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-k-10-2022/content/stage-5/fad76393f0) >- MA5-GEP-P-02 constructs proofs involving congruent triangles and similar triangles and proves properties of plane shapes ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | --------------------------------------- | ----------------------------------------------------------------------------------------------- | -------------------------------------------- | | [[Angle Relationships]] | - notation for angles<br>- vertically opposite angles and angle relationships on parallel lines | - formal proofs of congruence and similarity | | [[Properties of Geometrical Figures B]] | - tests for congruence and similarity | - formal proofs of congruence and similarity | ## [[Construct formal proofs involving congruent and similar triangles.pdf]] - Construct formal proofs of the congruence of triangles, preserving the matching order of vertices and drawing relevant conclusions - Construct formal proofs of the similarity of triangles, preserving the matching order of vertices and drawing relevant conclusions ## [[Apply logical reasoning to proofs involving plane shapes.pdf]] - Recognise that a definition is the minimum amount of information needed to identify a particular figure - Prove the properties of isosceles and equilateral triangles and special quadrilaterals from the formal definition of the shapes - Prove and apply theorems and properties related to triangles and quadrilaterals - Prove and apply tests for quadrilaterals - Solve numerical and non-numerical problems in Euclidean geometry based on known assumptions and proven theorems