Question

Quaddlateral CART is dilated with the center at the origin and a scale

Answer 1

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 $k=\frac{6}{5}$,

Rule for the dilation,

A(x, y) → A'$(\frac{6}{5}x,\frac{6}{5}y)$

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) → $A(\frac{5}{6}x,\frac{5}{6}y)$

             Quadrilateral CART                   Quadrilateral C'A'R'T'

                          (x, y)                                           $(\frac{6}{5}x,\frac{6}{5}y)$

                       C(-5, 15)                                       C'(-6, 18)

                       A(10, 5)                                         A'(12, 6)

                       R(-20, -10)                                    R'(-24, -12)                          

                       T(-25, 0)                                       T'(-30, 0)