Properties of Geometrical Figures
Outcomes
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MA5.2-14MG
Calculates the angle sum of any polygon and uses minimum conditions to prove triangles are congruent or similar
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Formulate proofs involving congruent triangles and angle properties (ACMMG243)
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Write formal proofs of the congruence of triangles, preserving matching order of vertices
Examples
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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
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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)
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Formulate proofs involving congruent triangles and angle properties (ACMMG243)