Question

has vertices
Rectangle ABCD
D(4, - 2)
A(1, 2), B(4, 2). C(1, — 2). ane
A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of
(24, 12)
o A
о В!
o D'

Answer 1

9514 1404 393

Answer:

  B'(24, 12)

Step-by-step explanation:

The transformation due to dilation by a factor of 6 is ...

  (x, y) ⇒ (6x, 6y)

We want to identify the original point, so we can find (x, y) using ...

  (24, 12) = (6x, 6y)

  (4, 2) = (x, y) . . . . . . divide by 6

The point with coordinates (4, 2) is point B, so the point with coordinates (24, 12) is B'.