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Moderate

Reflections and Translations

ACTMAT-OKT1L4

$ {\Delta} $ ABC is reflected about the line $x = 2$ to form $ {\Delta} $ A'B'C'.

$ {\Delta} $A'B'C' is then reflected about the line $x = -1$ to form $ {\Delta} $ A"B"C". The mapping from $ {\Delta} $ ABC to $ {\Delta} $ A"B"C" is also obtained by a translation.

If the coordinates of $ {\Delta} $ ABC are A$(0,2)$, B$(3,5)$, and C$(6,-1)$, which of the following describes the translation mapping from $ {\Delta} $ ABC to $ {\Delta} $ A"B"C"?

A

$(x,y) --> (x+6, y)$

B

$(x,y) --> (x-6, y)$

C

$(x,y) --> (x, y+6)$

D

$(x,y) --> (x, y-6)$

E

$(x,y) --> (x-6, y-6)$