Quadrilateral RUST has a vertex at R(2, 4). T
U
S
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x + 4, y)?
A. (10,4)
B. (10, 12)
C. (10, 16)
D. (18,12)

Given:

The coordinate of point R in quadrilateral RUST are (2,4).

R is dilated by a scale factor of 3, centered at the origin, followed by the translation .

To find:

The coordinates of R' after dilation and translation.

Solution:

If a figure is dilated by a scale factor of 3, centered at the origin, then

We value R(2,4).

The rule of translation is:

Using this rule, we get

Therefore, the coordinates of point R' are (10,12) and the correct option is B.

yes.. it's proven to be 36.