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Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor of the dilation.

Determine Whether The Dilation From A To B Is An Enlargement Or A Reduction Then Find The Scale Factor Of The Dilation class=

Sagot :

From the figure we notice that the figure B is smaller than figure A, hence the dilation is a reduction.

Now, to find the dilation factor we notice that the right side of figure A has length 6; the same side for figure B has length 2; then we need to find a factor that fullfils:

[tex]6k=2[/tex]

solving for k we have that:

[tex]\begin{gathered} 6k=2 \\ k=\frac{2}{6} \\ k=\frac{1}{3} \end{gathered}[/tex]

Therefore the scale factor of the dilation is 1/3