Rectangleabcd has vertices a(1, 1) , b(1, 7) , c(3, 7) , and d(3, 1) . a dilation with a scale factor of 0.4 and centered at the origin is applied to the rectangle.

which vertex in the dilated image has coordinates of (0.4, 2.8) ?

a′

b′

c′

d′

The correct option is (2) B'.

Step-by-step explanation:  Given that the co-ordinates of the vertices rectangle ABCD are A(1, 1) , B(1, 7) , C(3, 7) , and D(3, 1). A dilation with a scale factor of 0.4 and centered at the origin is applied to the rectangle ABCD.

We are to select the correct vertex of the dilated image that has co-ordinates of (0.4, 2.8).

Let, A'B'C'D' be the dilated image of the rectangle after applying a scale factor of 0.4.

We know,

After dilation, each co-ordinate of every vertex of the original rectangle will be multiplied by the scale factor to give the corresponding co-ordinates of the dilated image.

So, we have

So, the co-ordinates of the vertex B' are (0.4, 2.8).

Thus, option (2) is correct.

idk

step-by-step explanation: