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The composition D (idk) is applied to RST to create the image of R”S”T”, which is not shown,

what are the coordinates of point S”

The composition D (idk) is applied to RST to create the image of R”S”T”, which is-example-1
User Jeff Ward
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2 Answers

1 vote
The correct answer is the first choice: (-3/2 , 9/2),

To find the new points, you have to perform both of the transformations listed. First is a dilation by 3/2. Then, a second dilation must be performed by 1/2.

This means you multiply the values by 3/2, then 1/2.

The points changes from (-2, 6) to (-3, 9) to (-3/2, 9/2).
User Joe Enos
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8.4k points
4 votes

Answer:

The correct option is 1.

Explanation:

From the given figure it is clear that the vertices of triangle RST are

R(-6,10), T(-10,0) and S(-2,6).

The given composition is
D_{0,(3)/(2)}(x,y)\circ D_{0,(1)/(2)}(x,y), it means the figure dilated by factor 1/2 with center of dilation is origin, then the figure dilated by factor 3/2 with center of dilation is origin.

If a point dilated by factor k with center of dilation is origin, then


(x,y)\rightarrow (kx,ky)

The coordinates of S after dilation by factor 1/2 with center of dilation is origin is


S(-2,6)\rightarrow S'((1)/(2)(-2),(1)/(2)(6))=S'(-1,3)

The coordinates of S' after dilation by factor 3/2 with center of dilation is origin is


S'(-1,3)\rightarrow S''((3)/(2)(-1),(3)/(2)(3))= S''(-(3)/(2),(9)/(2))

The coordinates of S'' are
S''(-(3)/(2),(9)/(2))

Therefore the correct option is 1.

User Greduan
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8.1k points

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