# Mathematics / Year 7 / Measurement and Geometry / Geometric reasoning

Version 8
Curriculum content descriptions

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

Elaborations
• constructing parallel and perpendicular lines using their properties, a pair of compasses and a ruler, and dynamic geometry software
• defining and identifying the relationships between altenate, corresponding and co-interior angles for a pair of parallel lines cut by a transversal
General capabilities
• Critical and creative thinking Critical and creative thinking
ScOT terms

Parallel lines

## Refine by topic

Related topic ### reSolve: Mechanical Linkages: Angles and Lines

This sequence of lessons explores the geometry of angles using real world contexts including the dynamics of folding and joints. Students investigate side lengths and angles, supported by using physical models and computer simulation. There are opportunities to develop geometric language and to highlight how mathematical ... ### Geometric reasoning including parallel lines and angle sum of a triangle

This is a website designed for both teachers and students that addresses geometry from the Australian Curriculum for year 9 students. It contains material on geometry and includes information regarding parallel lines and the angle sum of triangles. There are pages for both teachers and students. The student pages contain ... ### Numeracy wrap: Race across transversals

Interactive activities that guide students to explore angles in parallel lines. ### TIMES Module 13: Measurement and Geometry: construction - teacher guide

This is a 30-page guide for teachers that explains the central role of construction and presents examples of constructions. ### The geometer's warehouse

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. ### The amazing 'angle-a-tron'

Lost your protractor? Well, find out how to make an 'angle-a-tron'. This might just be the coolest mathematical tool you've ever used. Measure all sorts of angles. It's easy with an angle-a-tron! ### Secondary mathematics: different representations

These seven learning activities, which focus on 'representations' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use different representations ... ### TIMES Module 9: Measurement and Geometry: introduction to plane geometry - teacher guide

This is a 16-page guide for teachers. It provides an introduction to the initial ideas of plane geometry. Points and lines are introduced as fundamental objects in the study of geometry. Angles and parallelism are the initial areas of attention in a more formal approach to geometry that occurs from year 7.