Skip to content

Popular

↑ ↓ to move · Enter to open Browse all modules
Mathematics P2 Step 3 of 9 beginner

Euclidean Geometry: Circle Theorems and Reasons

Learn the circle theorems that carry the marks, and write proofs the way they are marked — a statement with a reason on every single line.

By the end, you can

apply the main circle theorems and give an acceptable reason for each step of a geometry proof.

Free preview

Read the first lesson

This is exactly how Euclidean Geometry: Circle Theorems and Reasons starts, in your browser or on WhatsApp. Short messages, real examples, one step at a time.

Carry on from here →

skillSYMS LearnChat

Euclidean Geometry: Circle Theorems and Reasons

QUEST MATH-P2-EUCLIDEAN

The reason is the mark

Euclidean geometry is the one topic where a correct answer with no reason earns almost nothing. The marking guideline awards a mark for the statement and a mark for the reason, separately. ⭕

So the discipline is simple and non-negotiable: every line gets a reason. Learn the theorems by their reason wording, not just their meaning.

Reply NEXT to continue ▸

What you'll cover

  1. 1 The reason is the markfree preview above
  2. 2 The theorems you will use most
  3. 3 Writing an acceptable reason
  4. 4 Proving a quadrilateral is cyclic
  5. 5 The tan-chord theorem
  6. 6 Working through a proof
  7. 7 A routine for geometry questions
  8. 8 The challenge
  9. 9 What to take with you

Your certificate

Pass the challenge and it arrives straight away as a PDF. Add it to your CV or LinkedIn, and anyone can check it's real.

Certificate of completion

Your name here

has completed the MicroQuest

Euclidean Geometry: Circle Theorems and Reasons

LCA-2026-••••••••

Verify at skillsyms.com/verify

Informal learning, not an accredited qualification.

Next on the Mathematics P2 path · step 4 of 9

Grouped Data, Ogives and Box-and-Whisker Plots

14 min · R19

Up next →

You might also like

Mathematics P2 R19

Scatter Plots, Regression and Outliers

Describe a scatter plot properly, interpret the correlation coefficient, use the least squares line to predict, and know when a prediction is worthless.

14 min · beginner · certificate
Mathematics P2 R19

Similarity, Proportion and Geometry Proofs

Prove triangles similar, use the proportion theorem correctly, and set up ratios that give the right answer every time.

14 min · beginner · certificate
Mathematics P2 R19

Sine Rule, Area Rule and Applied Trigonometry

Choose between the sine rule, cosine rule and area rule with confidence, and handle 2D and 3D problems without losing your way.

14 min · beginner · certificate
Mathematics P2 R19

Trigonometric Identities and Reduction

Prove identities with a reliable method, reduce any angle to an acute one, and know which quadrant makes each ratio positive.

14 min · beginner · certificate

The whole Mathematics P2 path → All High School MicroQuests → Browse all 134 →

Know someone who needs this?

Send it to a colleague, a friend or your class group.

WhatsAppLinkedInFacebookX 🖨️ Print a QR poster

For employers, schools and training providers

Train a whole team, one short step at a time

Toolbox talks, inductions, refreshers and revision that people finish, because each one fits in a tea break and runs on the phone they already carry.

Get MicroQuests for my team Print a QR poster

Need a topic we don't have? Request it. The topics people ask for most are the ones we write next.

  • Give MicroQuests or credits

    Your people get a WhatsApp message or an email link and learn on their own phones. No logins to manage.

  • Pin a QR poster

    Print an A4 poster for the canteen, staffroom or site office. A scan opens the MicroQuest.

  • Verifiable certificates

    Every completion has a numbered certificate you can check online, which is useful for toolbox talks and inductions.

  • Your own MicroQuests

    skillSYMS clients publish their own MicroQuests (policies, site rules, product knowledge) for their own people.

Euclidean Geometry: Circle Theorems and Reasons: questions

How long does Euclidean Geometry: Circle Theorems and Reasons take?
About 14 minutes: 9 short lessons, 2 quick checks and a 5-question final challenge. Your progress is saved after every step, so you can stop and carry on later.
How much does Euclidean Geometry: Circle Theorems and Reasons cost?
R19, paid securely online, or 19 learning credits from your wallet. You pay once: if you don’t pass the challenge, you try again at no extra cost.
What do I need to pass?
4 out of 5 on the final challenge (80%). The quick checks along the way help you learn and do not count towards your mark.
Is the certificate accredited?
No. A MicroQuest is informal learning. Your certificate proves you completed it and has a number and QR code anyone can verify, but it is not an accredited qualification or SETA/QCTO credits, and it says so.
Can I do it on my phone?
Yes. Tap Start to learn in your phone’s browser, or send QUEST MATH-P2-EUCLIDEAN to 076 263 6000 on WhatsApp. It is the same MicroQuest and the same certificate either way.

Euclidean Geometry: Circle Theorems and Reasons

R19 · 14 min · certificate

Start →