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10. Quadrilateral PQRS with P(-5,1). Q(-2,6), R(3,7), and S(6,4); dilate by a factor of 1/2 12 a. Is this an enlargement or reduction? How do you know? 14 b. What are the vertices of the image after the transformation?

Sagot :

a.

The dilation is a reduction, this comes from the fact that the dilation factor is less than 1.

b.

A point after a dilation is given as:

[tex](x,y)\rightarrow(kx,ky)[/tex]

where k is the dilation factor.

In this case we need to divide all the coordinates by two, then we have that:

[tex]\begin{gathered} P^{\prime}(-\frac{5}{2},\frac{1}{2}) \\ Q^{\prime}(-1,3) \\ R^{\prime}(\frac{3}{2},\frac{7}{2}) \\ S^{\prime}(3,2) \end{gathered}[/tex]

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