Question

If abcd is dilated by a factor of 1/3 the coordinate of A would be?

Answer 1

A' = (-1, -1)

Explanation:

Rule for the dilation of any point A(x, y) about the origin by a factor of k is given by the rule,

A(x, y) → A'(kx, ky)

From the graph attached,

Coordinates of point A are (-3, -3) and it is dilated by a scale factor of
`(1)/(3)` about the origin then the coordinates of the image point A' will be,

A(-3, -3) →
`A'(-3* (1)/(3),-3* (1)/(3))`

→ A'(-1. -1)

Therefore, coordinates of A' = (-1, -1) is the answer.