- Mathematics
- Year 9
Properties of Geometrical Figures
approx. 6 hrs
3 topics
15 concepts
Sharpen your knowledge of Geometrical Figures and improve your results.
approx. 6 hrs
3 topics
15 concepts
Sharpen your knowledge of Geometrical Figures and improve your results.
This learning program covers congruence and similarity, and the properties of polygons. In Year 9 Properties of Geometrical Figures, students use the properties of congruent and similar figures to solve a range of problems, including finding the scale factor and unknown side lengths. Students also learn how to apply rules and processes to calculate the interior and exterior angles of polygons to determine unknown number of sides and unknown angles of a given polygon.
This learning program is made up of the following 3 topics, broken down into 15 concepts.
Use the angle sum of a quadrilateral property to find angles in a given diagram
Apply Exterior Angle Sum of Polygons
Apply the Interior Angle Sum of a Polygon formula
Name the matching sides and angles of congruent figures
Investigate the minimum conditions needed for two triangles to be congruent
Apply properties of congruent triangles to find an unknown angle or side, giving reasons
Choosing a test for congruence (SSS test, SAS test, AAS test, RHS test)
Write formal proofs of congruence of triangles, preserving matching order of vertices
Name the matching sides and angles of similar figures
Investigate the minimum conditions needed for two triangles to be similar
Write formal proofs of similarity of triangles, preserving matching order of vertices
Tests for similar triangles
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
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