• Mathematics
• Year 8

# Geometry

approx. 11 hrs

3 topics

22 concepts

Master Geometry and get the right foundations for Year 9.

Available in
ACT NSW NT QLD SA TAS VIC WA

### Overview

Year 8 Geometry is a core component of the Year 8 Measurement and Geometry strand. In this learning program students sort and classify triangles according to their sides or angles, identify convex and nonconvex shapes including quadrilaterals, and find unknown side lengths and angles. In addition, we work with students to recognise axes of symmetry, identify rotational symmetry and apply knowledge of sides and angles to prove shapes are congruent or similar.

### Topics & Concepts We Cover

This learning program is made up of the following 3 topics, broken down into 22 concepts.

• #### Properties of Triangles and Quadrilaterals 9 concepts

1. Investigate the properties of special quadrilaterals (parallelograms, rectangles, rhombuses, squares, trapeziums and kites)

2. Distinguish between convex and non-convex quadrilaterals

3. Use the angle sum of a triangle to establish that the angle sum of a quadrilateral is 360 degrees

4. Classify triangles according to side and angle properties

5. Classify special quadrilaterals on the basis of their properties

6. Use the angle sum of a quadrilateral property to find angles in a given diagram

7. Investigate and apply the exterior angle of a triangle property to find angles in a given diagram

8. Investigate and use the angle sum of a triangle property to find angles in a given diagram

9. Find unknown sides and angles in a given diagram by using the properties of special triangles and quadrilaterals

• #### Transformations in Geometry 8 concepts

1. Plot and determine the coordinates resulting from rotating around the origin by a given number of degrees

2. Draw a rotated image given an angle and direction

3. Plot and determine the coordinates resulting from reflecting in either the x or y axis

4. Identify congruent figures using transformations

5. Plot and determine the coordinates resulting from translation

6. Investigate axes of symmetry and the order of rotational symmetry of polygons, including circles and pictures

7. Draw images using translation

8. Draw a reflected image given a mirror line

• #### Congruent Figures 5 concepts

1. Name the matching sides and angles of congruent figures

2. Investigate the minimum conditions needed for two triangles to be congruent

3. Apply properties of congruent triangles to find an unknown angle or side, giving reasons

4. Write formal proofs of congruence of triangles, preserving matching order of vertices

5. Choosing a test for congruence (SSS test, SAS test, AAS test, RHS test)

### What you'll get

Learning Content

• A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
• All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

• We match you to a private, expert tutor who is right for your needs and goals
• Our tutors are talented, tested, top ATAR achievers and subject experts
• During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Geometry

Reporting

• Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
• You and your parents receive a comprehensive feedback report after every session
• Every session is recorded and available for you to watch at any time, allowing you to review what was covered

### Ready to start this program?

Simply pick a time that works for you

We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime