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Mathematics 8 Online
OpenStudy (anonymous):

Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below. Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'? A) translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis B) translated according to the rule (x, y) → (x + 2, Cy + 8) and reflected across the axis D) translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis E) translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the axis

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

Notice how point A stays on top. If we reflected across the x-axis, then point A would flip to the bottom

jimthompson5910 (jim_thompson5910):

So if a reflection is being done of the choices listed here, then it must be across the y-axis

jimthompson5910 (jim_thompson5910):

So that means that in order to get the figure in the upper right corner, you have to move the figure up. Then you reflect it over the y-axis

OpenStudy (anonymous):

so c would bve the answer?

jimthompson5910 (jim_thompson5910):

it is, nice job

jimthompson5910 (jim_thompson5910):

the rule (x,y) --> (x+2,y+8) tells you to shift the figure 2 units to the right, then 8 units up. That moves the figure directly to the left of the final figure. You just reflect over the y-axis to get to that final figure.

OpenStudy (anonymous):

thank you

jimthompson5910 (jim_thompson5910):

you're welcome

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