Rectangle ABCD has vertices A(1, 2) , B(4, 2) , C(1, −2) , and D(4, −2) . A dilation with a scale factor of 6 and centered at th
e origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of (24, 12)
A.A′
B.B′
C.C′
D.D′
2 answers:
B because its ratio matches the (4,2)
Answer:
B.B′
Step-by-step explanation:
In a dilation, the coordinates of each point are multiplied by the scale factor.
For a point to have an image at (24, 12) with a scale factor of 6, we would have begun at
(24/6, 12/6) = (4, 2)
These are the coordinates of B, so the image point would be B'.
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