Measurement and Geometry
Outcomes

Area and Surface Area

MA5.211MG
Calculates the surface areas of right prisms, cylinders and related composite solids

MA5.211MG

Volume

MA5.212MG
Applies formulas to calculate the volumes of composite solids composed of right prisms and cylinders

MA5.212MG

Properties of Geometrical Figures

MA5.214MG
Calculates the angle sum of any polygon and uses minimum conditions to prove triangles are congruent or similar

Formulate proofs involving congruent triangles and angle properties (ACMMG243)

Write formal proofs of the congruence of triangles, preserving matching order of vertices
Examples

Use the congruence of triangles to prove properties of the special quadrilaterals, such as: CCT
the opposite angles of a parallelogram are equal
the diagonals of a parallelogram bisect each other
the diagonals of a rectangle are equal
Examples

Write formal proofs of the congruence of triangles, preserving matching order of vertices
 Use the enlargement transformations to explain similarity and to develop the conditions for triangles to be similar (ACMMG220)
 Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes (ACMMG244)

Formulate proofs involving congruent triangles and angle properties (ACMMG243)

MA5.214MG