Question

ion #3: On the same set of aces, graph and label triangle Q'R'S', the image of QRS after a dilation with a scale factor of 3/2 centered at the origin. am

Answer 1

The scale factor of (3/2) means that we multiply each coordinate of each point by (3/2). Let's write the coordinates of the Triangle already drawn.

`\begin{gathered} Q=(-2,2) \\ R=(2,0) \\ S=(4,6) \end{gathered}`

Let's find Q'R'S' by multiplying each coordinate with (3/2). So,

`\begin{gathered} Q^(\prime)=(-2*(3)/(2),2*(3)/(2))=(-3,3) \\ R^(\prime)=(2*(3)/(2),0*(3)/(2))=(3,0) \\ S^(\prime)=(4*(3)/(2),6*(3)/(2))=(6,9) \end{gathered}`

Let's draw the transformed triangle:

The red is QRS and the blue one is Q'R'S'