Nicky156
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PLEASE HELP!!


2. Draw the image of ∆RST under the dilation with scale factor 5/3
and center of dilation (2, 2) − . Label the image ∆R′S′ T′. Show your work.

PLEASE HELP 2 Draw the image of RST under the dilation with scale factor 53 and center of dilation 2 2 Label the image RS T Show your work class=

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Answer:

From the given graph:

the coordinates of triangle RST are;

R= (2, 1),

S= (2,-2),

T= (-1,-2)

Given: Scale factor = [tex]\frac{5}{3}[/tex]  and center of dilation at (2,2)

The mapping rule for the  dilation applied to the triangle as shown below:    

[tex](x,y) \rightarrow (\frac{5}{3}(x-2)+2 , \frac{5}{3}(y-2)+2 )[/tex]; where k represents the scale factor i.e, [tex]k=\frac{5}{3}[/tex] or we can write it as ;  

For R=(2, 1)      

The image R' = [tex](\frac{5}{3}(2-2)+2 , \frac{5}{3}(1-2)+2 )[/tex]

⇒ R'= [tex](2, \frac{1}{3})[/tex]  

Similarly for S= (2, -2) and T= (-1,-2)

therefore, the image of S'= [tex](\frac{5}{3}(2-2)+2 , \frac{5}{3}(-2-2)+2 )[/tex]

⇒ S'= [tex](2, \frac{-14}{3})[/tex]

The image of T' =[tex](\frac{5}{3}(-1-2)+2 , \frac{5}{3}(-2-2)+2 )[/tex]

⇒T' = [tex](-3, \frac{-14}{3})[/tex]

Now, labelling the image of triangle R'S'T' as shown in the figure given below

Ver imagen OrethaWilkison
kingofashes

ΔRST is dilated by a factor of 1/3 with the center of dilation at the origin.The vertices of ΔRST, areR (3, 6)S (-3, 6)T (-6, -6)The vertices of the dilated image ΔR'S'T', areR' (1, 2)S' (-1,2)T' (-2, -2)The transformed image is shown in red color



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