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.

From the given graph:

the coordinates of triangle RST are;

R= (2, 1),

S= (2,-2),

T= (-1,-2)

Given: Scale factor =  and center of dilation at (2,2)

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

; where k represents the scale factor i.e, or we can write it as ;  

For R=(2, 1)      

The image R' =

⇒ R'=  

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

therefore, the image of S'=

⇒ S'=

The image of T' =

⇒T' =

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