A quadrilateral will be dilated on a coordinate grid to create a smaller quadrilateral. The quadrilateral is dilated using the origin as the center of the dilation. Which rule could represent this dilation? Question 4 options: (x, y) --> (0. 3x, 0. 3y) (x, y) --> (2. 5x, 2. 5y) (x, y) --> (x - 0. 3, y - 0. 3) (x, y) --> (x 2. 5, y 2. 5).

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psm22415 psm22415 · Answer 1 · 2022-02-25T03:49:15+01:00

The rule that could represent this dilation is (x, y) = (2.5x, 2.5y).

Given

Quadrilateral ABCD was dilated with the origin as the center of the dilation to create quadrilateral A'B'C'D.

The rule that could represent the dilation, we would multiply each coordinate by a dilation factor (a constant) to create a dilation.

By using AB and A'B' as points of references;

[tex]\rm AB =(-1, 2) \ to \ (2, 1)\\\\A'B'=(-2.5, \ 5) \ to \ (5, \ 2.5)[/tex]

The dilation factor (k) is calculated as:

[tex]\rm K=\dfrac{A'B'}{AB}[/tex]

[tex]\\K = 2.5[/tex]

The scale factor is 2.5.

Therefore,

The rule that could represent this dilation is;

(x, y) = k(x, y)

(x, y) = 2.5(x, y)

(x, y) = (2.5x, 2.5y)

Hence, The rule that could represent this dilation is (x, y) = (2.5x, 2.5y).

To know about dilation click the link given below.

https://brainly.com/question/25926201