Given a scale factor of 1/2,find the coordinates for the dialation of the triangle with vertices as (0,0),(0,2), and (4,0).
A.(0,0),(0,4),(8,0)
B.(0,0),(0,1),(2,0)
C.(1/2,1/2),(1/2,1),(2,1/2)
D.(2,2),(2,4),(8,2)
Is the answer B?
correct again
assuming that the origin is your center of dilation, B is correct.
To find the coordinates of the dilation with a scale factor of 1/2, you need to multiply the x and y coordinates of each vertex of the original triangle by the scale factor.
Let's apply the scale factor to each vertex:
Vertex (0,0): Scaling (0 * 1/2, 0 * 1/2) = (0,0)
Vertex (0,2): Scaling (0 * 1/2, 2 * 1/2) = (0,1)
Vertex (4,0): Scaling (4 * 1/2, 0 * 1/2) = (2,0)
Now, let's compare these new coordinates of the dilated triangle with the given answer choices:
A. (0,0), (0,4), (8,0) - Not a match
B. (0,0), (0,1), (2,0) - Matches the coordinates calculated
C. (1/2, 1/2), (1/2, 1), (2, 1/2) - Not a match
D. (2, 2), (2, 4), (8, 2) - Not a match
Therefore, the correct answer is B.