Mathematics P2 R19
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.
14 min · beginner · certificate
Mathematics P2 Step 1 of 9 beginner Free
Analytical Geometry: Midpoints, Gradients and Lines
Master the four core formulas — distance, midpoint, gradient and the line equation — and use gradients to prove shapes and angles.
By the end, you can
apply the analytical geometry formulas and use gradient relationships to prove parallel, perpendicular and collinear points.
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Analytical Geometry: Midpoints, Gradients and Lines
QUEST MATH-P2-ANALYTIC-GEOM
Four formulas and one idea
Analytical geometry is geometry done with coordinates instead of a ruler. Four formulas cover nearly all of it, and the one idea that ties them together is the gradient. 📏
Gradient proves lines are parallel, proves they are perpendicular, proves three points lie on a straight line, and gives the angle a line makes with the x-axis. Learn what it does and most proofs become short.
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What you'll cover
- 1 Four formulas and one ideafree preview above
- 2 The four formulas
- 3 Working backwards from a midpoint
- 4 Parallel, perpendicular and collinear
- 5 Proving what a shape is
- 6 Angle of inclination
- 7 A routine for analytical geometry
- 8 The challenge
- 9 What to take with you
Your certificate
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Certificate of completion
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Analytical Geometry: Midpoints, Gradients and Lines
LCA-2026-••••••••
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Next on the Mathematics P2 path · step 2 of 9
Coordinate Circles and Tangents
13 min · R19
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Analytical Geometry: Midpoints, Gradients and Lines: questions
How long does Analytical Geometry: Midpoints, Gradients and Lines 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 Analytical Geometry: Midpoints, Gradients and Lines cost?
It is free. There is no card to enter, and you still get a certificate when you pass.
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-ANALYTIC-GEOM to 076 263 6000 on WhatsApp. It is the same MicroQuest and the same certificate either way.
Analytical Geometry: Midpoints, Gradients and Lines
Free · 14 min · certificate