• Mathematics
• Year 9

# Properties of Geometrical Figures

approx. 6 hrs

3 topics

15 concepts

Available in
NSW NT QLD SA TAS VIC WA

### Overview

This learning program covers congruence and similarity, and the properties of polygons. In Year 9 Properties of Geometrical Figures, students use the properties of congruent and similar figures to solve a range of problems, including finding the scale factor and unknown side lengths. Students also learn how to apply rules and processes to calculate the interior and exterior angles of polygons to determine unknown number of sides and unknown angles of a given polygon.

### Topics & Concepts We Cover

This learning program is made up of the following 3 topics, broken down into 15 concepts.

• #### Polygons 3 concepts

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

2. Apply Exterior Angle Sum of Polygons

3. Apply the Interior Angle Sum of a Polygon formula

• #### 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)

• #### Similar Figures 7 concepts

1. Name the matching sides and angles of similar figures

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

3. Write formal proofs of similarity of triangles, preserving matching order of vertices

4. Tests for similar triangles

5. Determine the scale factor of two similar figures

6. Use a scale factor to find unknown sides

7. Solve problems using ratio and scale factors in similar figures

### 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 Properties of Geometrical Figures 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