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The Geometer's warehouse

This website has been developed to provide a range of activities that demonstrate and explore geometric properties, based on the NSW curriculum. It covers a wide range of topics from the properties of geometric figures, angle relationships, Pythagoras' theorem, trigonometry and circle geometry.

Additional details

Year level(s) Year 7, Year 8, Year 9, Year 10
Audience Teacher
Purpose Content knowledge, Student task, Teaching resource
Format Interactive
Teaching strategies and pedagogical approaches Explicit teaching, Questioning, Concrete Representational Abstract model
Keywords angles, geometry, trigonometry, Pythagoras, circle

Curriculum alignment

Curriculum connections Critical and creative thinking
Strand and focus Space, Apply understanding, Build understanding
Topics Angles and geometric reasoning, Pythagoras and trigonometry
AC: Mathematics (V9.0) content descriptions
Identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons


Demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles

Classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships


Describe the relationship between π and the features of circles including the circumference, radius and diameter

Identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations

Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning


Use Pythagoras' theorem to solve problems involving the side lengths of right-angled triangles


Solve spatial problems, applying angle properties, scale, similarity, Pythagoras' theorem and trigonometry in right-angled triangles


Solve practical problems applying Pythagoras' theorem and trigonometry of right-angled triangles, including problems involving direction and angles of elevation and depression

Numeracy progression Proportional thinking (P6, P7)
Understanding geometric properties (P4, P6, P7)
Understanding units of measurement (P9, P10)

Copyright details


NSW Department of Education. Creative Commons BY 4.0.


© State of New South Wales (Department of Education),2021. Creative Commons BY 4.0.