don steward
mathematics teaching 10 ~ 16

Friday, 8 April 2016

generalising GCSE questions (1)

some specimen GCSE questions can be adapted to offer a generalisation

a question from AQA asked students to establish an angle using an isosceles triangle and parallel lines

the fact that the angle is doubled prompts a question about whether this is generally true

this is not too hard to justify

for this generalisation the triangle ABC is isosceles

relaxing this constraint, prompts a question: can 'n' and 'k' be equal?

it looks as if they can...

the diagram is not drawn that accurately

the right-angled triangle suggests a dissection of a rectangle

the three right angled triangles must be similar

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