VCE Specialist Mathematics Units 1 and 2 – Geometry, Measurement and Trigonometry

US$4.00 / month with 1 month free trial

✓ Try it Free
✓ 1 Month Free Trial
✓ Instant Learning

✓ Experts Video Lessons
✓ Interactive Practice Tutorials
✓ Exam Style Quizzes
✓ Perfect Online Courses for Home Schooling

Your subscription renews monthly once subscribed.
You can cancel your subscription anytime.


4.1 Geometry
4.2 Circle Geometry
4.3 Similarity
4.4 Logic
4.5 Pythagoras Theorem
4.6 Trigonometry
4.7 Non-Right Angled Triangles
4.8 Vectors

Additional information


Geometry in the plane and proof

Key knowledge
• standard geometric conventions and notation for points, lines and angles, and the definitions of parallel lines, transversals and related angles
• the definitions and properties of common polygons, circles and related geometric constructs
• notions of congruence and similarity and conditions for congruence and similarity, and the sine and cosine rules and conditions for their application
• geometric theorems involving lines, polygons and circles, including Pythagoras’ theorem and its converse.

Key skills
• identify assumptions, give definitions and provide examples and counter-examples using appropriate mathematical language, diagrams and models
• complete geometric constructions using a compass and straight edge and dynamic geometry technology
• model situations and solve problems involving geometry
• prove theorems involving lines, polygons and circles.

Vectors in the plane

Key knowledge
• the standard notation and representations for vectors in the plane, including arrows, coordinates and matrices
• the definition of arithmetical operations for vectors in the plane
• the geometric and coordinate definition of the scalar product of two vectors
• geometrical representation of vectors.

Key skills
• use vectors to model situations involving direction and magnitude
• apply vector operations of scalar multiples, addition, subtraction and scalar product
• use vectors as an alternative geometric tool and apply them to problems in describing position, displacement, velocity and force
• use vectors to solve geometric problems and prove theorems.

You may also like…