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How is one of these points invariant? (GCSE Maths)

Reply 1

Original post
by Sichwünschen

The three points of the triangle are (obviously) not invariant, so what point when rotated by 180 and then translated by 5,-2 is invariant? Its a 1 marker/write down, so a little bit of thinking is all thats necessary. The previous question part (single transformation) should help if you cant see it.

Note your Q is wrong (and subsequently so is R). So think about each point rotated.

Reply 2

Original post
by mqb2766
The three points of the triangle are (obviously) not invariant, so what point when rotated by 180 and then translated by 5,-2 is invariant? Its a 1 marker/write down, so a little bit of thinking is all thats necessary. The previous question part (single transformation) should help if you cant see it.
Note your Q is wrong (and subsequently so is R). So think about each point rotated.
How do I get invariant points if none of them are invariant though?

Reply 3

Original post
by Sichwünschen
How do I get invariant points if none of them are invariant though?

What point returns to the same point after a 180 rotation then a translation by (5,-2)? You could write down the algebra if necessary (a couple of simple lines), but for 1 mark (the question says write down), they expect you to be able to reason about it.
(edited 10 months ago)

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