Mathematics: 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

Ответ:

Lizzy527663

13.03.2022

Mathematics

The correct option is 1.

Step-by-step 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 $D_{0,\frac{3}{2}}(x,y)\circ D_{0,\frac{1}{2}}(x,y)$ , 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

$S(-2,6)\rightarrow S'(\frac{1}{2}(-2),\frac{1}{2}(6))=S'(-1,3)$

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

$S'(-1,3)\rightarrow S''(\frac{3}{2}(-1),\frac{3}{2}(3))= S''(-\frac{3}{2},\frac{9}{2})$

The coordinates of S'' are $S''(-\frac{3}{2},\frac{9}{2})$

Therefore the correct option is 1.

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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”

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