Question

Your given points are: A(1, 1), B(1,4), C(3, 1). k = 4. What are your new coordinates?What type of dilation is it?

Answer 1

The given points are,

A(1, 1), B(1, 4) and C(3, 1). k = 4, hence you would have;

$\begin{gathered} A^{\prime}(1\times4,1\times4)=A^{\prime}(4,4) \\ B^{\prime}(1\times4,4\times4)=B^{\prime}(4,16) \\ C^{\prime}(3\times4,1\times4)=C^{\prime}(12,4) \end{gathered}$

Your new coordinates are;

A'(4, 4)

B'(4, 16)

C'(12, 4)

This is an enlargement dilation as it stretches out the original figure into a larger one