- MA5-GEP-P-02 constructs proofs involving congruent triangles and similar triangles and proves properties of plane shapes
📖 Prior Knowledge
| Content | Prerequisite relationships |
|---|---|
| Angle Relationships | - Find unknown angles with parallel lines → Construct proofs using congruent triangles - Find unknown angles with parallel lines → Construct proofs using similar triangles |
| Properties of Geometrical Figures | - Describe properties of special quadrilaterals → Prove properties of triangles and quadrilaterals |
| Properties of Geometrical Figures B | - Apply the congruent triangle tests → Construct proofs using congruent triangles - Apply the similar triangle tests → Construct proofs using similar triangles |
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