Answer: Q'(-9,21), R'(-9,33), S'(12,33) and T'(12,21)
It is enlargement.
Step-by-step explanation:
Given : Rectangle QRST has coordinates Q (− 3 , 7 ) , R (− 3 , 11 ) , S ( 4 , 11 ) , and T ( 4 , 7 ) .
Scale factor =3 >1 , so it is an enlargement. [Figure enlarge using scale factor greater than 1 ]
The rule we use for dilating a figure using center of dilation at the origin and scale factor k:
![(x,y)\to (kx, ky)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28kx%2C%20ky%29)
Then, the coordinates of rectangle Q 'R 'S 'T ' will be :-
![Q(-3,7)\to Q'(\ 3(-3)\ ,\ 3(7)\ )=Q'(-9,21)](https://tex.z-dn.net/?f=Q%28-3%2C7%29%5Cto%20Q%27%28%5C%203%28-3%29%5C%20%2C%5C%203%287%29%5C%20%29%3DQ%27%28-9%2C21%29)
![R(-3,11)\to R'(\ 3(-3)\ ,\ 3(11)\ )=R'(-9,33)](https://tex.z-dn.net/?f=R%28-3%2C11%29%5Cto%20R%27%28%5C%203%28-3%29%5C%20%2C%5C%203%2811%29%5C%20%29%3DR%27%28-9%2C33%29)
![S(4,11)\to S'(\ 3(4)\ ,\ 3(11)\ )=S'(12,33)](https://tex.z-dn.net/?f=S%284%2C11%29%5Cto%20S%27%28%5C%203%284%29%5C%20%2C%5C%203%2811%29%5C%20%29%3DS%27%2812%2C33%29)
![T(4,7)\to T'(\ 3(4)\ ,\ 3(7)\ )=T'(12,21)](https://tex.z-dn.net/?f=T%284%2C7%29%5Cto%20T%27%28%5C%203%284%29%5C%20%2C%5C%203%287%29%5C%20%29%3DT%27%2812%2C21%29)
Hence, the coordinates of rectangle Q 'R 'S 'T ' are : Q'(-9,21), R'(-9,33), S'(12,33) and T'(12,21)