Answer:
4. F '(3, 2.5), G '(5, 0.5), H '(1, 0.5)
Step-by-step explanation:
The formula for dilations are
where t1 is the scale factor
F has coordinates (6,5) so you can write
Multiply 6 by 0.5 and 5 by 0.5 to get
![(3,2.5)](https://tex.z-dn.net/?f=%283%2C2.5%29)
Next, do G. It has coordinates (10, 1) so you can write
![(10*0.5, 1*0.5)](https://tex.z-dn.net/?f=%2810%2A0.5%2C%201%2A0.5%29)
Multiply 10 by 0.5 and 1 by 0.5 to get
![(5, 0.5)](https://tex.z-dn.net/?f=%285%2C%200.5%29)
Finally, point H has coordinates (2, 1) so you can write
![(2*0.5, 1*0.5)](https://tex.z-dn.net/?f=%282%2A0.5%2C%201%2A0.5%29)
Multiply 2 by 0.5 and 1 by 0.5 to get
![(1, 0.5)](https://tex.z-dn.net/?f=%281%2C%200.5%29)
Hope this helps. Feel free to ask any follow-up questions.
Have a great day! :)