Question

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

Answer 1

Answer:

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.

Answer 2

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).