Answer:
The scale factor of dilation is One-third
Step-by-step explanation:
If point (x , y) is dilated by a scale factor k, then its image is (kx , ky)
∵ The vertices of the square ABCD are:
A = (-21 , 18)
B = (-12 , 18)
C = (-12 , 9)
D = (-21 , 9)
∵ A' = (-7 , 6)
∴ (kx , ky) = (-7 , 6)
∵ x , y are the coordinates of Point A
∵ x = -21 and kx = -7
∴ k(-21) = - 7
- Divide both sides by -21
∴ k = [tex]\frac{1}{3}[/tex]
∵ y = 18 and ky = 6
∴ k(18) = 6
- Divide both sides by 18
∴ k = [tex]\frac{1}{3}[/tex]
∵ C' = (-4 , 3)
∴ (kx , ky) = (-4 , 3)
∵ x , y are the coordinates of Point C
∵ x = -12 and kx = - 4
∴ k(-12) = - 4
- Divide both sides by -12
∴ k = [tex]\frac{1}{3}[/tex]
∵ y = 9 and ky = 3
∴ k(9) = 3
- Divide both sides by 9
∴ k = [tex]\frac{1}{3}[/tex]
∴ The scale factor of dilation is One-third
Answer:
one third is the answer
Step-by-step explanation:
