Exploring Translations 3

Question 3
a) Translate the polygon so that point A is at the origin (0,0). How far did the polygon move from its [b]original position[/b]? How would you write this change in position so that someone could reproduce it without a picture?[br]b) Translate the polygon so that point A is at the point (1,3). How far did the polygon move from [b]the last [/b] position? How would you write this change in position so that someone could reproduce it without a picture?
Did you notice that the shifts in question 3 were opposites? Shift 1 took the pre-image (brown) and translated it (pink). In shift 2, the pink shape was the pre-image, and it was translated back to where the brown shape was. It turns out that translations are actually functions that take a point as input and then output another point (possibly the same point). [br][br]In math language a function that "undoes" another function is called an inverse. Transformation functions have inverses, and you just found one. Remember that functions are inverses if the inputs/outputs become switched. For example, (2,5) would be (5,2)
[i]Check your answers, then [url=https://www.geogebra.org/book/title/id/2660003#material/2664649]go on to Exploring Translations 4.[/url][/i]
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