Question

The vertices of figure BCDE have coordinates B(4, 4) , C(−4, 4), D(−4, −4) , and E(4, −4) . The vertices of figure B'C'D'E' have coordinates B'(2, 6) , C′(−6, 6), D′(−6, −2) , and E′(2, −2) .

Which transformation of ​ figure BCDE ​ produces ​ figure B'C'D'E' ​ ?

Responses

a translation 2 units left and 2 units up
a translation 2 units left and 2 units up

a reflection across the x-axis
a reflection across the x-axis

a reflection across the y-axis
a reflection across the y-axis

a translation 2 units right and 2 units down
a translation 2 units right and 2 units down

Answers

Answered by GPT 3.5
It is a reflection across the x-axis.

This can be determined by observing that the y-coordinates of the vertices B, C, D, and E in figure BCDE are the negative of the corresponding y-coordinates in figure B'C'D'E'. This indicates a reflection across the x-axis.

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