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 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

Answer 1

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!