Question

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

factor of 6/5
Describe Quaddlateral CART and Quadrilateral C’A’R’T’by completing the
table below with the BEST answer

Answer 1

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=(6)/(5)`,

Rule for the dilation,

A(x, y) → A'
`((6)/(5)x,(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((5)/(6)x,(5)/(6)y)`

Quadrilateral CART Quadrilateral C'A'R'T'

(x, y)
`((6)/(5)x,(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)