mroberts7570
contestada

The composition D Subscript 0, three-halves (x, y) is a composition of D Subscript 0, one-half (x, y) is applied to △RST to create the image of △R"S"T", which is not shown. What are the coordinates of point S"?

(negative three-halves, nine-halves)

(negative nine-halves, fifteen-halves)

(negative fifteen-halves, 0)

(nine-halves, negative three-halves)

Respuesta :

Dilation is a transformation that changes the size of a shape.

The coordinates of point S" is: [tex](-\frac{3}{2},\frac{9}{2})[/tex]

The transformation rule is given as:

[tex]D_0,_\frac{3}{2}(x,y)*D_0,_\frac{1}{2} (x,y)[/tex]

This above rule means that:

  • The shape is dilated by 3/2
  • The resulting shape is then dilated by 1/2

From the complete question, the coordinate of S is:

[tex]S=(-2,6)[/tex]

Apply the first transformation; i.e. multiply S by 3/2

So, we have:

[tex]S'=\frac{3}{2}[/tex] × [tex](-2,6)[/tex]

[tex]S'=(-3,9)[/tex]

Apply the next transformation; i.e. multiply S' by 1/2

So, we have:

[tex]S''=\frac{1}{2}[/tex] × [tex](-3,9)[/tex]

[tex]S''=(-\frac{3}{2},\frac{9}{2})[/tex]

Hence, the coordinates of point S" is:

Read more about dilations at:

https://brainly.com/question/13176891

Otras preguntas