Question

Dilate the triangle whose vertices are (3,-1), (-1,2), and (1,2) by a factor of two.

Answer 1

Dilate the triangle whose vertices are (3,-1), (-1,2), and (1,2) by a factor of two:

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape

In order to dilate to a factor of 2:

`\begin{gathered} x_1,y_1=3,-1 \\ x_2,y_2=-1,2 \\ x_(3,)y_3=1,2 \end{gathered}`
`\begin{gathered} x_1^1,y_1^1=3(2),-1(2)=6,-2 \\ x_2^1,y_2^1=-1(2),2(2)=-2,4 \\ x_3^1,y_3^1=1(2),2(2)=2,4 \end{gathered}`

Therefore the new vertices are:

`(6,-2),(-2,4)\text{ and \lparen2,4\rparen}`