Question

Dilate the following figure about the origin with a scale factor of 5/2 in decimals.

Answer 1

F(-5, 2.5)

G(5, 5)

H(2.5, -2.5)

Step-by-step explanation

We have given the vertices of the figure as:

F(-2, 1); G(2, 2); H(1, -1)

To dilate the figure by a scale factor of 5/2, we have to multiply the coordinates of each vertex by 5/2.

That is:

`\begin{gathered} F\Rightarrow(5)/(2)(-2,1)\Rightarrow((5)/(2)\cdot-2,(5)/(2)\cdot1) \\ F\Rightarrow(-5,2.5) \end{gathered}`
`\begin{gathered} G\Rightarrow(5)/(2)(2,2)\Rightarrow((5)/(2)\cdot2,(5)/(2)\cdot2) \\ G\Rightarrow(5,5) \end{gathered}`
`\begin{gathered} H\Rightarrow(5)/(2)(1,-1)\Rightarrow((5)/(2)\cdot1,(5)/(2)\cdot-1) \\ H\Rightarrow(2.5,-2.5) \end{gathered}`

That is the answer.