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Polygon ABCD with A (2,4), B (-4,-8), C (0,4), and D (12,-2), is dilated are the new coordinates? Is this a reduction or enlargement?

Polygon ABCD With A 24 B 48 C 04 And D 122 Is Dilated Are The New Coordinates Is This A Reduction Or Enlargement class=

Sagot :

For this exercise it is important to know that, in Dilations:

1. When the scale factor is greater than 1, the Image (the figure obtained after the transformation) is an enlargement.

2. When the scale factor is greater than 0 but less than 1, the Image is a reduction:

[tex]0You know that the coordinates of the vertices of the polygon ABCD are:[tex]\begin{gathered} A(2,4) \\ B(-4,-8) \\ C(0,4) \\ D(12,-2) \end{gathered}[/tex]

And the scale factor is:

[tex]k=\frac{1}{2}[/tex]

Since:

[tex]0<\frac{1}{2}<1[/tex]

It is a reduction.

You can identify that the rule of this transformation is:

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