A(-3,-3) - A' is a glide reflection where the translation is (x,y) - (x+5,y), and the line of reflection is y=1. What are the coordinates of A'? Can you show me how to solve this please?

Question

A(-3,-3) -> A' is a glide reflection where the translation is (x,y) -> (x+5,y), and the line of reflection is y=1. What are the coordinates of A'? Can you show me how to solve this please?

johnweldon1993 · Answer

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The translation $\large (x + 5,y)$ means we take our coordinate $\large (-3,-3)$ and apply the rule

If that is out coordinate, and the rule states $\large (x + 5,y)$ then we have $\large (-3 + 5,-3)$ or $\large (2,-3)$ as the new coordinate

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Now we just need to work with the reflection with the line y = 1

johnweldon1993 · Answer

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anonymous · Answer

So (2,5) ?

johnweldon1993 · Answer

So think about if you had this on a piece of paper...and you folded the paper in half at that line y= 1     While it is folded, where would the point be?

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Very good!

anonymous · Answer

Thank you so much! Guess i just over-thought the first half of the problem :P

johnweldon1993 · Answer

Haha no problem you figured it out in the end :D