MA26-08 Maths Coming soon
Proving results using similarity and Pythagoras
MA26-08
This lesson is coming soon.
In this lesson
Chain similarity reasoning with Pythagoras' theorem to derive and prove a geometric result.
What it covers
- Combining a similarity argument with Pythagoras' theorem to derive and prove a result
- Modelling the full multi-step argument through to its numeric or algebraic conclusion
- Checking a right angle is actually given or justified before applying Pythagoras, rather than assuming one from the diagram's appearance
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | G6 | Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras’ theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs |
| Edexcel GCSE 1MA1 | G6 | Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras’ theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs |
| Eduqas GCSE C300 | FG6 | Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras' Theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs |
| Eduqas GCSE C300 | HG6 | Apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras' Theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs |
| OCR GCSE J560 | 9.02b | Apply congruent triangles in calculations and simple proofs. |
For teachers
This GCSE Maths lesson teaches proving results using similarity and Pythagoras. By the end, students should be able to chain similarity reasoning with Pythagoras' theorem to derive and prove a geometric result. It works through two worked examples and the mistakes examiners report.