Question

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?

Answer 1

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:

`(x,y)\rightarrow(kx,ky)`

where k is the dilation factor.

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

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