What is the reflection image of P (0, 0) after two reflections, first across x = -3 and then across y = -3?

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03-04-2015
Mathematics

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What is the reflection image of P (0, 0) after two reflections, first across x = -3 and then across y = -3?

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RedRicin RedRicin · Answer 1 · 2015-04-03T00:38:17+02:00

RedRicin RedRicin

03-04-2015

Reference the image below if you need to.

We start at red point (0,0) and reflect across blue line x= -3.
This puts the point equidistance away on the opposite side at blue point (-6, 0).
That point is then reflected across green line y= -3,
and ends up at green point (-6, -6).

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