Properties of Geometrical Figures and Circle Geometry
Congruence, similarity, and circle geometry theorems with proof.
Active lessons
10
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
10 of 10 active
Lesson 1
2A Review of Geometry
Use angle relationships on lines, at points, in triangles/quadrilaterals and on parallel lines to find unknown angles.
Lesson 2
Congruent Triangles
Use SSS, SAS, ASA and RHS to identify congruent triangles and match corresponding parts.
Lesson 3
2C Congruence and Quadrilaterals
Choose congruence tests (SSS, SAS, ASA, RHS) and use congruence and quadrilateral properties.
Lesson 4
Similar Triangles
Use angle and side relationships to identify similar triangles and calculate scale factors.
Lesson 5
2E Proving Similar Triangles
Use similarity tests and the scale factor to identify similar triangles and find unknown sides.
Lesson 6
Circle Geometry: Chord and Angle Theorems
Use chord and angle theorems to find missing angles in circles and cyclic quadrilaterals.
Lesson 7
2H Further Angle Properties of Circles
Apply circle theorems: angle at the centre, semicircle, same segment and cyclic quadrilaterals.
Lesson 8
Circle Geometry: Tangent Theorems
Use radius-tangent, equal-tangent and alternate-segment facts to reason about circles.
Lesson 9
2J Intersecting Chords, Secants and Tangents
Use the intersecting-chords product rule and tangent properties.
Lesson 10
Writing Geometric Proofs
Write short geometric proofs by linking given facts, valid reasons and precise conclusions.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.