# The geometer's warehouse

2577 Views | 847 Downloads

This web-based, multimedia resource focuses on the geometry of the Stage 4 and Stage 5 Mathematics syllabus. It comprises 70 dynamic html worksheets, each exploring a different outcome in Stage 4 and Stage 5 geometry.

© State of New South Wales, Department of Education.

## NSW syllabus outcomes

(MA3-16MG) measures and constructs angles, and applies angle relationships to find unknown angles

(MA3-15MG) manipulates, classifies and draws two-dimensional shapes, including equilateral, isosceles and scalene triangles, and describes their properties

(MA4-17MG) classifies, describes and uses the properties of triangles and quadrilaterals, and determines congruent triangles to find unknown side lengths and angles

(MA4-18MG) identifies and uses angle relationships, including those related to transversals on sets of parallel lines

(MA5.2-14MG) calculates the angle sum of any polygon and uses minimum conditions to prove triangles are congruent or similar

(MA5.3-16MG) proves triangles are similar, and uses formal geometric reasoning to establish properties of triangles and quadrilaterals

(MA5.3-17MG) applies deductive reasoning to prove circle theorems and to solve related problems

## Australian curriculum content descriptions

(ACMMG141) Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles

(ACMMG163) Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal

(ACMMG164) Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning

(ACMMG166) Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral

(ACMMG202) Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning

(ACMMG244) Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes

(ACMMG272) Prove and apply angle and chord properties of circles

## More information

- Resource type:
- Interactive Resource
- Audience:
- learner
- ScOT topics:
- Geometry, Angles, Theorems
- File type:
- text/html
- Language/s:
- en-AU
- Author:
- State of NSW, Department of Education
- Publisher:
- State of NSW, Department of Education
- Date created:
- Thursday, 2 August 2018

Resource ID: cb02edfa-eb1d-43e7-b913-08e55cdb3435