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The vertices of figure BCDE have coordinates B(4, 4), C(−4, 4), D(−4, −4), and E(4, −4). The vertices of figure BꞌCꞌDꞌEꞌ have coordinates Bꞌ(1, 1), Cꞌ(−1, 1), Dꞌ(−1, −1), and Eꞌ(1, −1).


Which transformation of figure BCDE produced figure BꞌCꞌDꞌEꞌ?


A.

a translation 3 units left and 3 units down


B.

a translation 3 units right and 3 units down


C.

a dilation with a scale factor of 4, with center of dilation at the origin


D.

a dilation with a scale factor of , with center of dilation at the origin

Verified Answer :

C.) A dilation with a scale factor of 4, with center of dilation at the origin

Here, You can either draw the figure or compare the coordinates, 
B = (4, 4) then B' = (1, 1)
C = (-4, 4) then C' = (-1, 1)
D = (-4, -4) then D' = (-1, -1)
E = (4, -4) then E' = (1, -1)

So, Every coordinate is reducing by 4th factor... Hence, dilation factor is 4 about the origin

Hope this helps!

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