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Which graph shows the dilation image of rectangle ABCD with the center of dilation at the origin and a scale factor of 1.5?

(First picture is the one you have to dilate.

Which graph shows the dilation image of rectangle ABCD with the center of dilation at the origin and a scale factor of 15 First picture is the one you have to d class=
Which graph shows the dilation image of rectangle ABCD with the center of dilation at the origin and a scale factor of 15 First picture is the one you have to d class=
Which graph shows the dilation image of rectangle ABCD with the center of dilation at the origin and a scale factor of 15 First picture is the one you have to d class=
Which graph shows the dilation image of rectangle ABCD with the center of dilation at the origin and a scale factor of 15 First picture is the one you have to d class=
Which graph shows the dilation image of rectangle ABCD with the center of dilation at the origin and a scale factor of 15 First picture is the one you have to d class=

Respuesta :

The correct graph will be the second option.

Explanation

Co ordinates of the original rectangle ABCD are : A(-6, 0) , B(0, 6) , C(6, 0) and D(0, -6)

Dilation at the origin with a scale factor means, we need to multiply both x and y co ordinates of each point by the scale factor.

Here, scale factor is given as 1.5

So, dilation points of A, B, C and D:

[tex] A' = [(-6*1.5) , (0*1.5)] = (-9,0)\\ \\ B'= [(0*1.5),(6*1.5)]=(0,9)\\ \\ C'= [(6*1.5),(0*1.5)]=(9,0)\\ \\ D'= [(0*1.5),(-6*1.5)]=(0,-9) [/tex]

So, the correct graph will be the second option.

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