ind the new triangle that undergoes a scale factor of 3 and a center of dilation at the origin
A 2, 1 b 2, 3 c 3, -2
To find the new triangle after a scale factor of 3 and a center of dilation at the origin, you multiply each coordinate of the original triangle by the scale factor.
Let's list the coordinates of the original triangle and multiply them by 3:
A: (2, 1) -> A': (2*3, 1*3) = (6, 3)
B: (2, 3) -> B': (2*3, 3*3) = (6, 9)
C: (3, -2) -> C': (3*3, -2*3) = (9, -6)
Therefore, the new triangle with a scale factor of 3 and a center of dilation at the origin is:
A' (6, 3), B' (6, 9), C' (9, -6).