apply deductive reasoning to formulate proofs involving shapes in the plane and use theorems to solve spatial problems
Elaborations
distinguishing between a practical demonstration and a proof; for example, demonstrating that triangles are congruent by placing them on top of each other, as compared to using congruence tests to establish that triangles are congruent
developing proofs involving congruent triangles and angle properties, communicating the proof using a sequence of logically connected statements
applying an understanding of relationships to deduce properties of geometric figures; for example, the base angles of an isosceles triangle are equal
investigating proofs of geometric theorems and using them to solve spatial problems, for example, applying logical reasoning and similarity to proofs and numerical exercises involving plane shapes, and using visual proofs to justify solutions
using dynamic geometry software to find the quadrilateral that has a vertex on each side of a rectangle and has the shortest possible path, and proving that the path forms a parallelogram
Code
VC2M10SP01
Curriculum resources and support
Find related teaching and learning resources in
Arc*
