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Graph the triangle with vertices X(−3, 2), Y(2, 3), and Z(1,−1) and its image after a dilation with scale factor k=−3.

What are the following coordinates for the dilation?

Please show all work on how you got your answer.

Graph the triangle with vertices X(−3, 2), Y(2, 3), and Z(1,−1) and its image after a dilation with scale factor k=−3. What are the following coordinates for th class=
Graph the triangle with vertices X(−3, 2), Y(2, 3), and Z(1,−1) and its image after a dilation with scale factor k=−3. What are the following coordinates for th class=

Answer :

DeanR

X(−3, 2), Y(2, 3), Z(1,−1)

Good job on graphing XYZ.  Dilation by k=-3 just means we multiply all the coordinates by -3:

X'(9,-6), Y'(-6,-9), Z(-3,3)

Since you know how to plot coordinates I'll leave that to you.

MrRoyal

Dilation involves changing the size of a shape.

See attachment for the graphs of the image and the pre-image

The coordinates of the triangle is given as:

[tex]\mathbf{X = (-3,2)}[/tex]

[tex]\mathbf{Y = (2,3)}[/tex]

[tex]\mathbf{Z = (1,-1)}[/tex]

The scale factor (k) is given as:

[tex]\mathbf{k = -3}[/tex]

So, the coordinates of the image are:

[tex]\mathbf{X' = -3 \times (-3,2)}[/tex]

[tex]\mathbf{X' = (9,-6)}[/tex]

[tex]\mathbf{Y' = -3 \times (2,3)}[/tex]

[tex]\mathbf{Y' = (-6,-9)}[/tex]

[tex]\mathbf{Z' =-3 \times (1,-1)}[/tex]

[tex]\mathbf{Z' =(-3,3)}[/tex]

So, the coordinates of the image are:

[tex]\mathbf{X' = (9,-6)}[/tex]

[tex]\mathbf{Y' = (-6,-9)}[/tex]

[tex]\mathbf{Z' =(-3,3)}[/tex]

See attachment for the graphs of the image and the pre-image

Read more about dilations at:

https://brainly.com/question/13176891

${teks-lihat-gambar} MrRoyal

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