Suppose the figure is dilated by 3/2 with the center of dilation at the origin. Which would be the ordered pairs for the image of ABCD?

Group of answer choices

A’(-3, 4.5), B’(-6,-6), C’(6, 0), D’(7.5, 6)

A’(-4/3, 2), B’(10/3, 8/3), C’(8/3, 0), D’(-8/3, -8/3)

A’(-4, 6), B’(-8, -8), C’(8, 0), D’(10,8)

A’(-6, 9), B’(-12, -12), C’(12,0), D’(15, 12)

Ordered pairs for the image of ABCD after dilated by 3/2 with the center of dilation at the origin is A’(-3, 4.5), B’(-6,-6), C’(6, 0), D’(7.5, 6).

What is dilation?

" Dilation is defined as for the given geometrical shape when the size of the given shape get changed as per the given condition without changing its shape."

According to the question,

From the given figure ABCD,

Ordered pair of A ( -2,3) , B(-4,-4) , C(4,0), D( 5,4)

Dilated by [tex]\frac{3}{2}[/tex] with the center of dilation at the origin

New ordered pair after dilation we have,

[tex]A' ( -2(\frac{3}{2} ), 3(\frac{3}{2} ))= A'(-3,4.5)\\\\B' (-4(\frac{3}{2} ),-4(\frac{3}{2} ))= B'(-6,-6)\\\\C'(4(\frac{3}{2} ),0(\frac{3}{2} ))=C'(6,0)\\\\D'(5(\frac{3}{2} ),4(\frac{3}{2} ))=D'(7.5,6)[/tex]

Hence, ordered pairs for the image of ABCD after dilated by 3/2 with the center of dilation at the origin is A’(-3, 4.5), B’(-6,-6), C’(6, 0), D’(7.5, 6).

Learn more about dilation here

https://brainly.com/question/13176891

#SPJ3