• Mathematics Advanced
  • 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.

  • Congruence and Similarity 9 concepts

    1. Prove and apply tests for quadrilaterals using similarity results

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

    3. Solve problems involving similarity ratios and areas and volumes

    4. Apply similar triangle results to solve practical problems

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

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

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

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

    9. Tests for similar triangles

  • Pythagoras' Theorem 2 concepts

    1. Prove Pythagoras' theorem using similarity

    2. Converse of Pythagoras' theorem

  • 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. Apply Exterior Angle Sum of Polygons

    2. Apply the Interior Angle Sum of a Polygon formula

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

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

    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

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?

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Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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