Answer:
Step-by-step explanation:
Rule for the dilation of a point by a scale factor 'k' about the origin is,
(x, y) → (kx, ky)
If the scale factor for the dilation is [tex]k=\frac{6}{5}[/tex],
Rule for the dilation,
A(x, y) → A'[tex](\frac{6}{5}x,\frac{6}{5}y)[/tex]
If the coordinates of point A' (Image) is given and we have to find the coordinates of point A (Preimage),
Rule for the dilation,
A'(x, y) → [tex]A(\frac{5}{6}x,\frac{5}{6}y)[/tex]
Quadrilateral CART Quadrilateral C'A'R'T'
(x, y) [tex](\frac{6}{5}x,\frac{6}{5}y)[/tex]
C(-5, 15) C'(-6, 18)
A(10, 5) A'(12, 6)
R(-20, -10) R'(-24, -12)
T(-25, 0) T'(-30, 0)