JCHL Geometry
Angles, triangles, constructions and transformations — see the shapes and learn the rules, step by step.
Your progress through this topic0 of 12 lessons
Lessons in this topic
All 12 lessons, in order — each one ticks off as you open it.
1Theorems, axioms and Corollaries2Constructions3Types of Angles4Circle Questions5Congruent Triangles6Similar Triangles7Tranformations8Proof of Theorem 4 (Practise)9Proof of Theorem 6 (Practise)10Proof of Theorem 9 (Practise)11Proof of Theorem 14 (Practise)11Proof of Theorem 19 (Practise)
Key ideas in this topic
Every formula from these lessons in one place. The green ones are printed in the log tables booklet you get in the exam — the red ones you learn off.
★ Must learn
14 theorems (numbers 1–6, 9–15, 19). Recognise them all; you only prove five — Theorems 4, 6, 9, 14 and 19.
JCHL Geometry 1
★ Must learn
5 corollaries (1–5) — results that follow directly from a theorem.
JCHL Geometry 1
★ Must learn
5 axioms (1–5) — statements accepted without proof that everything is built on.
JCHL Geometry 1
★ Must learn
Use one of the four conditions: SSS, SAS, ASA or RHS.
JCHL Geometry 1
★ Must learn
Equal angles, and corresponding sides in the same ratio.
JCHL Geometry 1
★ Must learn
Swap the “given” and the “to prove” — a converse is not always true.
JCHL Geometry 1
★ Must learn
15 constructions (numbers 1–15).
JCHL Geometry 1
★ Must learn
A slide — every point moves the same distance in the same direction.
JCHL Geometry 7
★ Must learn
A flip in a line — the image is the mirror image in the axis.
JCHL Geometry 7
★ Must learn
A flip through a point — every point passes through the centre to the far side.
JCHL Geometry 7
★ Must learn
A turn about a point through an angle.
JCHL Geometry 7
★ Must learn
A scaling by a factor from a centre — every length is multiplied by the scale factor.
JCHL Geometry 7