• Year 11

# Plane Geometry

approx. 9 hrs

4 topics

21 concepts

Become competent with Plane Geometry and advance into Year 12 with the right foundations.

Available in
NSW

### Overview

This learning program covers the essential components of the Year 11 Mathematics Advanced, Plane Geometry topic as outlined the NSW Mathematics syllabus.  In Year 11 Plane Geometry, students use congruence and similarity and their application to geometrical proofs and properties of shapes.

### Topics & Concepts We Cover

This learning program is made up of the following 4 topics, broken down into 21 concepts.

• #### Angle relationships 4 concepts

1. Apply rule that if two lines are parallel to a third line then they are parallel to one another

2. Use angle relationships to identify parallel lines

3. Find angles at a point using angle relationships

4. Use angle relationships of parallel lines to find the size of unknown angles, giving reasons

• #### Angles of Polygons 6 concepts

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

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

3. Apply Exterior Angle Sum of Polygons

4. Apply the Interior Angle Sum of a Polygon formula

5. Apply the triangle inequality rule

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

• #### Congruence and Similarity 9 concepts

1. Apply the intercepts and parallel lines properties to find unknown sides

2. Application of congruent triangles to prove properties of special triangles and quadrilaterals

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

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

5. Scaling ratio for volume

6. Scaling ratio for area

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

8. Tests for similar triangles

9. Prove and apply tests for quadrilaterals using similarity results

• #### Pythagoras' Theorem 2 concepts

1. Prove Pythagoras' theorem using similarity

2. Converse of Pythagoras' theorem

### 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 Plane 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