Step-by-step explanation:
200...............................
Answer:
a) ΔF'G'H' is the image of ΔFGH
b)Center of dilation (7,-1)
c) Scale factor: 
Step-by-step explanation:
Question a
Since the smaller triangle is named F'G'H', it means that, it is the image of triangle FGH.
Question B.
To find the center of dilation, draw straight lines through any two corresponding points.
The straight lines will meet at (7,-1).
This is called the center of dilation.
See graph in attachment.
Question c
The scale factor of the dilation is given by;






We have to know the formula to finding the area of a circle. Since the area is clearly rounded, we can use 3.14 for pi.
R^2•3.14=78.5
Let’s divide both sides by 3.14.
R^2=25
5•5
5
So the radius is 5. The diameter is double the radius. The diameter of the circle is 10.
Rise over run is -2/4 or simplified as -1/2
The second one is