Pre-image point N(6, -3) was dilated to point N'(2,-1). What was the scale factor used?

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Pre-image point N(6, -3) was dilated to point N'(2,-1). What was the scale factor used?

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Answer 1 · 2017-10-07T08:21:05

$k = \frac{1}{3}$ $k=1/3$

Explanation:

$note the reduction in each coordinate$ $"note the "color(blue)"reduction"" in each coordinate"$

$x-coordinates$ $color(blue)"x-coordinates"$

$6 \to 2 \to 6 \times \frac{1}{3} \to 2$ $6to2to6xxcolor(red)(1/3)to2$

$y-coordinates$ $color(blue)"y-coordinates"$

$- 3 \to - 1 \to - 3 \times \frac{1}{3} \to - 1$ $-3to-1to-3xxcolor(red)(1/3)to-1$

$the scale factor decreases the values of the image$ $"the scale factor decreases the values of the image"$
$coordinates and is a reduction$ $"coordinates and is a reduction"$

$\Rightarrow k = \frac{1}{3}$ $rArrk=1/3$

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Pre-image point N(6, -3) was dilated to point N'(2,-1). What was the scale factor used?

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