Answer:
➧D'(x+4,y-8/3)
is the image of D under dilation about point P(x,y) with 1/3 scale factor.
Explanation:
Here ,
‣The center of dilation is P.
Let (x,y) be the coordinates of the point P.
‣Now to reach from P to D we need to:
1) Go 8 units down from P(x,y) which means to go at P(x,y-8)
2) Go 12 units right from 8 units below the point P ,which means to go at P(x+12,y-8)
‣But considering scale factor of 1/3 we need to:
1) Go 8/3 units down from P which means to go at P(x,y-8/3)
2) Go 12/3(=4) units right from 8/3 units below the point P
which means go at P(x+4,y-8/3)
‣That means:
➧(x+4,y-8/3) will be our image of D under dilation about point P with 1/3 scale factor.
