Question

Dilate AbC by a scale factor of 1/2 center (0,0)

Answer 1

Given data:

The firts coordinate is A=(2,2).

The second coordinate is B=(4,2).

The third coordinate is C=(2,4).

The final coordinate of A is,

`\begin{gathered} A^(\prime)=(1)/(2)A \\ =(1)/(2)(2,2) \\ =(1,\text{ 1)} \end{gathered}`

The final coordinate of B is,

`\begin{gathered} B^(\prime)=(1)/(2)B \\ =(1)/(2)(4,\text{ 2)} \\ =(2,1) \end{gathered}`

The final coordinate of C is,

`\begin{gathered} C^(\prime)=(1)/(2)C \\ =(1)/(2)(2,\text{ 4)} \\ =(1,\text{ 2)} \end{gathered}`

Thus, the final coordinate of A is A'(1,1), final coordinate of B is B'(2,1), and final coordinate of C is C'(1, 2).