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
![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 class=](https://us-static.z-dn.net/files/dd1/f7cdfd292c167127b1b5b169d43388ad.jpg)
Answer:
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.