- Mathematics
- Year 10
Properties of Geometrical Figures
approx. 10 hrs
8 topics
23 concepts
Develop an aptitude for Properties of Geometrical Figures and advance into Year 11 with confidence.
approx. 10 hrs
8 topics
23 concepts
Develop an aptitude for Properties of Geometrical Figures and advance into Year 11 with confidence.
Year 10 Properties of Geometrical Figures is aligned to the Australian Mathematics curriculum. This topic builds on prior knowledge and understanding of congruent and similar figures from previous years. Students studying Year 10 Properties of Geometrical Figures select appropriate tests for congruence or similarity to find unknown angles and sides of 2D shapes and to prove geometrical properties of quadrilaterals.
This learning program is made up of the following 8 topics, broken down into 23 concepts.
Use angle relationships to identify parallel lines
Use angle relationships of parallel lines to find the size of unknown angles, giving reasons
Classify triangles according to side and angle properties
Investigate and use the angle sum of a triangle property to find angles in a given diagram
Investigate and apply the exterior angle of a triangle property to find angles in a given diagram
Use the angle sum of a quadrilateral property to find angles in a given diagram
Classify special quadrilaterals on the basis of their properties
Apply the Interior Angle Sum of a Polygon formula
Apply Exterior Angle Sum of Polygons
Apply properties of congruent triangles to find an unknown angle or side, giving reasons
Investigate the minimum conditions needed for two triangles to be congruent
Choosing a test for congruence (SSS test, SAS test, AAS test, RHS test)
Use congruence to test for a type of quadrilateral
Application of congruent triangles to prove properties of special triangles and quadrilaterals
Write formal proofs of congruence of triangles, preserving matching order of vertices
Investigate the minimum conditions needed for two triangles to be similar
Solve problems using ratio and scale factors in similar figures
Use a scale factor to find unknown sides
Determine the scale factor of two similar figures
Prove and apply theorems and properties related to triangles and quadrilaterals using congruency and similarity results
Write formal proofs of similarity of triangles, preserving matching order of vertices
Tests for similar triangles
Scaling ratio for area
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