a square with a side length of 2 units is drawn on the coordinate plane with a vertex at the origin. Which shows a dilation of the square by a scale factor of 2

Step-by-step explanation:

From the figure attached,

ABCD is a square with vertices as,

A(-2, 0), B(-2, 2), C(0, 2) and D(0, 0)

If the given square is dilated by a scale factor of 2 and the center of dilation is the point D (origin).

Rule for the dilation of a point by a scale factor k is,

(x, y) → (kx, ky)

By this rule,

A(-2, 0) → A'(-4, 0)

B(-2, 2) → B'(-4, 4)

C(0, 2) → C'(0, 4)

D(0, 0) → D'(0, 0)

Now we can plot these points to get the image square (dilated figure) as given the figure attached.

the answer is 2/54

step-by-step explanation: