Scale factor is the number by which the a figure is smaller or bigger by the original shape of the figure. The [tex]\Delta(ABC)'[/tex] located at the point,
[tex]\left (2, \dfrac{3}{2} \right )\\[/tex],[tex]\left (\dfrac{-7}{2}, 1 \right )\\[/tex] , [tex](1,1)[/tex].
Given information-
The [tex]\Delta ABC[/tex] is dilated by scale factor of 1/2.
The [tex]\Delta ABC[/tex] is located at the points A(2,2), B(4,3), and C(-7,2).
Scale factor
Scale factor is the number by which the a figure is smaller or bigger by the original shape of the figure.
As the point of the triangle shown in the figure is dilated with the scale factor of 1/2. Thus all the point will be multiplied by the scale factor 1/2,
Point A (4,3) after the dilation of scale factor of 1/2,
[tex]A'=\left (\dfrac{4}{2}, \dfrac{3}{2} \right )\\
A'=\left (2, \dfrac{3}{2} \right )\\[/tex]
Point B (-7,2) after the dilation of scale factor of 1/2,
[tex]B'=\left (\dfrac{-7}{2}, \dfrac{2}{2} \right )\\
B'=\left (\dfrac{-7}{2}, 1 \right )\\[/tex]
Point C (2,2) after the dilation of scale factor of 1/2,
[tex]C'=\left (\dfrac{2}{2}, \dfrac{2}{2} \right )\\
C'=(1,1)[/tex]
Hence the [tex]\Delta(ABC)'[/tex] located at the point,
[tex]\left (2, \dfrac{3}{2} \right )\\[/tex],[tex]\left (\dfrac{-7}{2}, 1 \right )\\[/tex] , [tex](1,1)[/tex]
Learn more about the scale factor here;
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