Orlando is doing a math problem where he needs to dilate a triangle by a scale factor of four. The ordered pairs for his pre-image are (-2, 1), (8, 4), and (3, 0). Which of the following ordered pairs is not coordinates for a point in his image?(12, 0)(-8, 4)(32, 16)(2, 1)
Accepted Solution
A:
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure. Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
On this exercise is given that a triangle with vertices (-2,1), (8,4), and (3,0) was dilated by a scale factor of four, and it is asked to find the vertices of the image of the triangle after the dilation occurred.
The coordinates representing the vertices of the triangle's image are (-8,4), (32,16), and (12,0); meaning that the ordered pair which is not a coordinate for a point in the triangle's image is (2,1).