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charle [14.2K]
2 years ago
11

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 crea

te 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)
Mathematics
1 answer:
Alex_Xolod [135]2 years ago
6 0

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

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

The transformation rule is given as:

D_0,_\frac{3}{2}(x,y)*D_0,_\frac{1}{2} (x,y)

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:

S=(-2,6)

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

So, we have:

<h3>S'=\frac{3}{2} × (-2,6)</h3>

S'=(-3,9)

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

So, we have:

<h3>S''=\frac{1}{2} × (-3,9)</h3>

S''=(-\frac{3}{2},\frac{9}{2})

Hence, the coordinates of point S" is:

Read more about dilations at:

brainly.com/question/13176891

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