Thales' Theorem and Scale Factors
S3 (3e) to S4 (2de) · 🔢 Mathematics
Explore intercept theorem, parallel lines in triangles, scale factors, and converse proofs.
- Questions
- 20, in 5 parts: Parallel Lines and Triangles · Calculating Missing Lengths · Trick Questions · Converse of Thales' Theorem · Scale Factors and Ratios
- Chapter
- Geometry
- Game
- Citadel
- Pack language
- English
A taste of what is inside
- What key condition must be present to apply Thales' intercept theorem?A 90-degree right angleA circle enclosing the shapeThree equal side lengthsTwo parallel lines cutting two intersecting lines
- In triangle ABC with DE parallel to BC, if AD = 2, AB = 6, and AE = 3, what is AC?691218
- If DE is NOT parallel to BC in triangle ABC, can you directly apply Thales' formula?No, parallelism is strictly requiredNo, unless it is a squareYes, but divide by 2Yes, if angles are acute
How to get it
In your game (full version): ⚙️ Settings → 📚 Question bank, choose this pack, then “Buy”. The payment opens in your browser; the pack then installs itself and stays available on every device of your licence.
Try Citadel: the free demo