Question

graph the image of each polygon with the given vertices after a dialation centered at the origin with the given scale factor.Q(-1, -1), R(0,2), S(2,1); r= 3/2

Answer 1

We draw a triangle QRS with vertices shown:

After dilation with a scale factor of r = 3/2, we multiply each coordinate by 3/2 and find the new coordinates Q', R', and S', respectively.

Shown below:

`\begin{gathered} Q(-1,-1) \\ Q^(\prime)=(-1*(3)/(2),-1*(3)/(2)) \\ Q^(\prime)=(-(3)/(2),-(3)/(2)) \\ \text{and} \\ R(0,2) \\ R^(\prime)=(0*(3)/(2),2*(3)/(2)) \\ R^(\prime)=(0,3) \\ \text{and} \\ S(2,1) \\ S^(\prime)=(2*(3)/(2),1*(3)/(2)) \\ S^(\prime)=(3,(3)/(2)) \end{gathered}`

Drawing Q' R' S', we have the dilated triangle graph: